Publications

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Contents 1 Preprints 2 To appear 3 Published Articles 3.1 2013 3.2 2012 3.3 2011 3.4 2010 3.5 2009 3.6 2008 4 Books edited

Preprints

• Laurent Bartholdi, Hans-Christian Graf v. Bothmer, Xavier Buff, Jakob Kröker: "Algorithmic construction of Hurwitz maps" arXiv:1303.1579
• Y. Tanimoto: "Construction of wedge-local QFT through Longo-Witten endomorphisms", arXiv:1209.1370
• Christoph Neumann, Karl-Henning Rehren, Lena Wallenhorst: "New methods in conformal partial wave analysis", arXiv:1112.3512
• Dorothea Bahns, Jasmin D. A. Meinecke: "String Quantization and the Shuffle Hopf Algebra", arXiv:1103.0974
• Dorothea Bahns: "The ultraviolet infrared mixing problem on the noncommutative Moyal space", arXiv:1012.3707
• Yunhe Sheng, Chenchang Zhu: "Integration of semidirect product Lie 2-algebras", arXiv:1003.1348.
• Hans-Christian Graf v. Bothmer, Jakob Kröker: "A survey of the Poincaré Center Problem in degree 3 using finite field heuristics", arXiv:1012.3402
• Giorgio Trentinaglia, Chenchang Zhu: "Strictification of etale stacky Lie groups", Jun. 7, 2010; arXiv:1006.1262.
• Renzo Cavalieri, Paul Johnson and Hannah Markwig: "Chamber structure of double Hurwitz numbers", 2010; arXiv:1003.1805.
• Laurent Bartholdi, Thomas Schick, Nat Smale, Steve Smale, Anthony W. Baker: “Hodge Theory on Metric Spaces”, 2009; arXiv:0912.0284.
• Laurent Bartholdi, Olivier Siegenthaler: “The Twisted Twin of the Grigorchuk Group”, 2009; arXiv:0904.1600.
• Laurent Bartholdi, Olivier Siegenthaler, Pavel Zalesskii: “The congruence subgroup problem for branch groups”, 2009; arXiv:0902.3220.
• Thomas Schick, Robert Simon, Stanislav Spiez, Henryk Torunczyk. A parametrized version of the Borsuk Ulam theorem
• Ralf Meyer, Maarten Solleveld: "Characters and growth of admissible representations of reductive p-adic groups", 2009, arXiv:0908.1489
• Boris Botvinnik, Thomas Schick, Mark Walsh. Homotopy groups of the moduli space of metrics of positive scalar curvature, arXiv:0907.5188
• Ulrich Bunke, Thomas Schick. Uniqueness of smooth extensions of generalized cohomology theories
• Heath Emerson, Ralf Meyer: "Equivariant K-theory via correspondences", 2009, arXiv:0812.4949
• Heath Emerson, Ralf Meyer: "Equivariant embedding theorems and topological index maps", 2009, arXiv:0908.1465
• Ralf Meyer, Ryszard Nest: "C*-Algebras over topological spaces: filtrated K-theory", 2009, arXiv:0810.0096
• Hannah Markwig, Thomas Markwig and Eugenii Shustin: "Tropical curves with a singularity in a fixed point", 2009, arXiv:0909.1827
• Alcides Buss, Ralf Meyer and Chenchang Zhu: "A higher category approach to twisted actions on C*-algebras", 2009, arXiv:0908.0455
• Chenchang Zhu: "Kan replacement of simplicial manifolds", 2008, arXiv:0812.4150.
• Dorothea Bahns: "Euclidean Propagators in Noncommutative Field Theory",Mathematica Göttingensis, 2008.

To appear

• G. Lechner, J. Schlemmer, Y. Tanimoto: "On the equivalence of two deformation schemes in quantum field theory", arXiv:1209.2547, to appear in Lett. Math. Phys.
• Detlev Buchholz, Hendrik Grundling: "Lie algebras of derivations and resolvent algebras", arXiv:1202.2780, to appear in Commun. Math. Phys., doi:10.1007/s00220-012-1567-z
• Giorgio Trentinaglia: "Some remarks on the global structure of proper Lie groupoids in low codimensions", Topology and its Applications (2011), doi:10.1016/j.topol.2011.01.019, arxiv:0907.2856.
• Florian Block, Andreas Gathmann and Hannah Markwig: "Psi-floor diagrams and a Caporaso-Harris type recursion", 2010; arXiv:1003.2067. To appear in Israel J. Math.
• Marina Franz, Hannah Markwig: "Tropical enumerative invariants of F₀ and F₂", 2008, arXiv:0808.3452. To appear in Adv. Geom.
• Alcides Buss, Ralf Meyer and Chenchang Zhu: "Non-Hausdorff Symmetries of C*-algebras", 2009, arXiv:0907.0339v1 [math.OA]. To appear in Mathematische Annalen.
• Yunhe Sheng and Chenchang Zhu: "Semidirect products of representations up to homotopy", 2009; arXiv:0910.2147. To appear in Pacific Journal of Mathematics.
• Laurent Bartholdi, Oleg Bogopolski: “On abstract commensurators of groups”, 2009; arXiv:0902.4542. To appear in J. Group Theory
• Laurent Bartholdi, Pierre de la Harpe: “Representation zeta functions of wreath products with finite groups”, 2008; arXiv:0809.0131. To appear in Groups, Geometry and Dynamics.
• Laurent Bartholdi, Vadim A. Kaimanovich, Volodymyr V. Nekrashevych: “On amenability of automata groups”, 2008; arXiv:0802.2837. To appear in Duke Math. J.
• Laurent Bartholdi, Floriane Pochon: “On growth and torsion of groups”, 2007; arXiv:0712.4005. To appear in Groups, Geometry and Dynamics.
• Laurent Bartholdi: “A converse to Moore's theorem on cellular automata”, 2007; arXiv:0709.4280. To appear in J. European Math. Soc.
• Rui M.G.Reis, Richard J. Szabo, Alessandro Valentino, "KO-Homology and Type I String Theory", to appear in Reviews in Mathematical Physics, arXiv:hep-th/0610177
• Paul Baum, Nigel Higson, Thomas Schick. A Geometric Description of Equivariant K-Homology for Proper Actions. to appear in Proceeding in Non-commutative geometry (in honor of Alain Connes 60th birthday). arXiv:0907.2066
• Ulrich Bunke, Thomas Schick. Smooth orbifold $K$-Theory
• Ulrich Bunke, Matthias Kreck, Thomas Schick. A geometric description of smooth cohomology
• Paul Baum, Herve Oyono-Oyono, Thomas Schick. Equivariant geometric K-homology for compact Lie group actions. to appear in Abhandlungen aus dem mathemathschen Seminar der Universität Hamburg.
• Ulrich Bunke, Thomas Schick, Markus Spitzweck. Periodic twisted cohomology and T-duality. to appear in Asterisque
• Ulrich Bunke, Thomas Schick, Markus Spitzweck, and Andreas Thom. Du- ality for topological abelian group stacks and T-duality. arXiv:math/0701428, to appear in Proceedings of Valladolid Conference on K-theory and Noncom- mutative Geometry.
• Peter Linnell, Thomas Schick. The Atiyah conjecture and Artinian rings. to appear in Proceedings of the Morelia conference in honor of Farrell-Jones
• Ulrich Bunke, Thomas Schick, Ingo Schröder, Moritz Wiethaup. Landweber exact formal group laws and smooth cohomology theories. to appear in Algebraic and Geometric Topology
• Ulrich Bunke, Thomas Schick. Smooth K-Theory. to appear in Asterisque
• Jan Dymara, Thomas Schick. Buildings have finite asymptotic dimension. to appear in Russian Journal of Mathematical Physics, special issue in honour of Nicolai Teleman
• Ralf Meyer, Ryszard Nest: "C*-algebras over topological spaces: the bootstrap class", 2009, to appear in Münster J. Math. arXiv:0712.1426

Published Articles

2013

• Henning Bostelmann, Daniela Cadamuro: "An operator expansion for integrable quantum field theories", arXiv:1208.4763, J. Phys. A46 (2013) 095491, DOI
• Karl-Henning Rehren, Gennaro Tedesco: "Multilocal fermionization", arXiv:1205.0324, Lett. Math. Phys. 103 (2013) 19-36, DOI

2012

• Hans-Christian Graf v. Bothmer, Christian Böhning: "On the rationality of the moduli space of Lüroth quartics", Mathematische Annalen, 353 (2012) 1273-1281 arXiv:1003.4635
• Ko Sanders: "Essential self-adjointness of Wick squares and energy densities in Hadamard representations on curved spacetimes", arXiv:1010.3978, J. Math. Phys. 53, 042502 (2012), DOI.
• Roberto Longo, Karl-Henning Rehren: "Boundary quantum field theory on the interior of the Lorentz hyperboloid", arXiv:1103.1141, Commun. Math. Phys. 311 (2012) 769-785, DOI

2011

• Dorothea Bahns, Sergio Doplicher, Klaus Fredenhagen, Gherardo Piacitelli: "Quantum Geometry on Quantum Spacetime: Distance, Area and Volume Operators", arXiv:1005.2130, Commun. Math. Phys. 308 (2011) 567-589
• Hans-Christian Graf v. Bothmer, Fedor Bogomolov and Christian Böhning: "Rationality of quotients by linear actions of affine groups", arXiv:1005.2375, Science of China Series A: August 2011 Vol. 54 No. 8: 1521-1532; DOI: 10.1007/s11425-010-4127-z
• Michael Dütsch, Karl-Henning Rehren: "Protecting the conformal symmetry via bulk renormalization on Anti deSitter space", 2010; arXive 1003.5451, Commun. Math. Phys. 307 (2011) 315-350, DOI.
• Antonia M. Kukhtina, Karl-Henning Rehren: "Local commutators and deformations in conformal chiral quantum field theories", Int. J. Mod. Phys. A 26 (2011) 3357-3383, DOI, arXive 1105.2963.
• Detlev Buchholz, Gandalf Lechner, Stephen J. Summers: "Warped convolutions, Rieffel deformations and the construction of quantum field theories", Commun. Math. Phys. 304 (2011) 95-123, DOI, arXive 1005.2656.
• Eric Cagnache, Francesco D'Andrea, Pierre Martinetti, Jean-Christophe Wallet: "The spectral distance on the Moyal plane", J. Geom. Phys. 61 (2011) 1881-1897, DOI, arXive 0912.0906.

2010

• Ralf Meyer, Maarten Solleveld: "Resolutions for representations of reductive p-adic groups via their buildings", 2009, J. Reine Angew. Math. 64 (2010) 115-150, DOI, arXiv:0902.4856
• Dorothea Bahns: "Schwinger functions in noncommutative quantum field theory", 2009, Annales Henri Poincare 11 (2010) 1273-1283, arXiv:0908.4537 [math-ph]
• Hans-Christian Graf v. Bothmer, Jakob Kröker: "Focal values of plane cubic centers", Qualitative Theory of Dynamical Systems, Volume 9, Number 1-2 (2010): 319-324, DOI 10.1007/s12346-010-0031-8, arXiv:0902.3415v1.
• Giorgio Trentinaglia: "On the role of effective representations of Lie groupoids", Advances in Mathematics, Volume 225, Issue 2 (2010), 826-858, doi:10.1016/j.aim.2010.03.014, arxiv:0903.5422.
• Christan Böhning, Hans-Christian Graf v. Bothmer: "A Clebsch-Gordan formula for SL_3 and applications to rationality", Advances in Mathematics Volume 224, Issue 1 (2010), 246-259. DOI: 10.1016/j.aim.2009.11.006, arXiv:0812.3278.
• Francesco D'Andrea, Pierre Martinetti: "A view on optimal transport from noncommutative geometry", SIGMA 6 (2010), 057. DOI, arXiv:0906.1267.
• Renzo Cavalieri, Paul Johnson, Hannah Markwig: "Tropical Hurwitz numbers", J Algebr Comb (2010) 32,2: 241–265. DOI, arXiv:0804.0579.
• Jacobus Sanders: "The locally covariant Dirac field", Rev. Math. Phys. 22 (2010) 381-430. DOI, arXiv:0911.1304.
• Roberto Longo, Pierre Martinetti, Karl-Henning Rehren: "Geometric modular action for disjoint intervals and boundary conformal field theory", Rev. Math. Phys. 22 (2010) 331-354. DOI, arXiv:0912.1106.
• Hans-Christian Graf v. Bothmer, Kristian Ranestad and Frank Sottile: "Linear precision for toric surface patches", Foundations of Computational Mathematics, Volume 10, Number 1 (2010), 37-66. DOI: 10.1007/s10208-009-9052-6, arXiv:0806.3230
• Christan Böhning, Hans-Christian Graf v. Bothmer: "Rationality of the moduli spaces of plane curves of sufficiently large degree" , Inventiones Mathematicae, Volume 179, Number 1 (2010), 159-173; DOI: 10.1007/s00222-009-0214-6 arXiv:0804.1503v1,
• Jacobus Sanders: "Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime", Commun. Math. Phys. 295 (2010) 485-501. DOI, arXiv:0903.1021.
• Yunhe Sheng: Jacobi quasi-Nijenhuis Algebroids, Rep. Math. Phys. 65 (2010), 271-287 , arXiv:0903.4332.

2009

• Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen: "Perturbative algebraic quantum field theory and the renormalization groups", Adv. Theor. Math. Phys. 13 (2009) 1541–1599; arXiv:0901.2038 [math-ph].
• Marcel Bischoff, Daniel Meise, Karl-Henning Rehren, Ingo Wagner: "Conformal quantum field theory in various dimensions", Bulg. J. Phys. 36 (2009) 170-185; arXiv:0908.3391.
• Eric Katz, Hannah Markwig, Thomas Markwig: The tropical j-invariant, LMS J. Comput. Math. 12, 2009, 275-294; arXiv:0803.4021.
• Chenchang Zhu: "Kan replacement of simplicial manifolds", 2008, Letters in Mathematical Physics: Volume 90, Issue 1 (2009), Page 383; arXiv:0812.4150.
• Chenchang Zhu: "n-Groupoids and Stacky Groupoids", 2008, International Mathematics Research Notices (2009) 2009:4087-4141; arXiv:0801.2057. DOI: 10.1093/imrn/rnp080.
• Michael Kerber, Hannah Markwig: "Counting tropical elliptic plane curves with fixed j-invariant", Comment. Math. Helv., 84 (2), 2009, 387–427. arXiv:0608472
• Christan Böhning, Hans-Christian Graf v. Bothmer and Jakob Kröker: "Rationality of moduli spaces of plane curves of small degree", Experimental Mathematics, Vol. 18 (2009), No. 4, 499-508 arXiv:0904.0890
• Pierre Martinetti: "Line element in quantum gravity: the examples of DSR and noncommutative geometry", Int. J. Mod. Phys. A 24 (2009) 2792-2801 arXiv:0904.4865 [gr-qc].
• Pierre Martinetti: "Conformal mapping of Unruh temperature", Mod. Phys. Lett. A 24 (2009), 1473-1483.
• Heath Emerson, Ralf Meyer: "Equivariant representable K-theory", J. Topol. 2 no. 1 (2009), 123-156.
• Heath Emerson, Ralf Meyer: "Equivariant Lefschetz maps for simplicial complexes and smooth manifolds", Math. Ann. 345 no. 3 (2009), 599-631.
• Hans-Christian Graf v. Bothmer, Kristian Ranestad: A general formula for the algebraic degree in semidefinite programming, Bull. London Math. Soc. 2009 41: 193-197. arXiv:math/0701877 DOI
• Ragnar-Olaf Buchweitz, Hans-Christian Graf v. Bothmer, and Wolfgang Ebeling: Low-dimensional Singularities with Free Divisors as Discriminants, J. Algebraic Geom. 18 (2009), 371-406. arXiv:math/0612119
• Hans-Christian Graf v. Bothmer, Kristian Ranestad: Classification of rational surfaces of degree 11 and sectional genus 11 in P^4, Math. Scand. 104 (2009), 60–94. arXiv:math/0603567
• Alcides Buss and Ralf Meyer: "Square-integrable coactions of locally compact quantum groups", Reports on Math. Phys. 63 (2009), 191-224.
• Andreas Gathmann, Michael Kerber and Hannah Markwig: Tropical fans and the moduli space of tropical curves, Compos. Math. 145 (2009), no. 1, 173-195. arXiv:0708.2268
• Hannah Markwig, Johannes Rau: Tropical descendant Gromov-Witten invariants, Manuscripta Mathematica, volume 129, issue 3 (2009), 293-335, arXiv:0809.1102 DOI
• Roberto Longo, Karl-Henning Rehren: "How to remove the boundary in CFT - an operator algebraic procedure", Commun. Math. Phys. 285 (2009) 1165-1182; DOI.
• Hannah Markwig, Josephine Yu: "The space of tropically collinear points is shellable", Collect. Math. 60,1 (2009), 63-77, arXiv:07011.0944.

2008

• Bettina Eick, René Hartung, Laurent Bartholdi: “A nilpotent quotient algorithm for L-presented groups”, 2007; arXiv:0706.3131. Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344.
• Laurent Bartholdi: “On Amenability of Group Algebras, I”, 2006; arXiv:math/0608302. Israel J. Math. 168 (2008), 153--165.
• Laurent Bartholdi], Markus Neuhauser, Wolfgang Woess: “Horocyclic products of trees”, 2006; arXiv:math/0601417. J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816.
• Laurent Bartholdi, Volodymyr V. Nekrashevych: “Iterated Monodromy Groups of Quadratic Polynomials, I”, 2006; arXiv:math/0611177. Groups Geom. Dyn. 2 (2008), no. 3, 309--336.
• Laurent Bartholdi, Illya I. Reznykov: “A Mealy machine with polynomial growth of irrational degree”, 2005; arXiv:math/0506203. Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82.

• Hanke, Bernhard, Kotschick, Dieter; Roe, John; Schick, Thomas Coarse topology, enlargeability, and essentialness. Ann. Sci. Éc. Norm. Supér. (4) 41 (2008), no. 3, 471--493.
• Bunke, Ulrich; Schick, Thomas Real secondary index theory. Algebr. Geom. Topol. 8 (2008), no. 2, 1093--1139.
• Blomer, Inga; Linnell, Peter A.; Schick, Thomas. Galois cohomology of completed link groups. Proc. Amer. Math. Soc. 136 (2008), no. 10, 3449--3459.
• Hanke, Bernhard; Schick, Thomas. The strong Novikov conjecture for low degree cohomology. Geom. Dedicata 135 (2008), 119--127.
• Bunke, Ulrich; Schick, Thomas; Spitzweck, Markus. Inertia and delocalized twisted cohomology. Homology, Homotopy Appl. 10 (2008), no. 1, 129--180.
• Ralf Meyer: "Homological algebra in bivariant K-theory and other triangulated categories. II", Tbilisi Math. J. 1 (2008), 165-210.
• Ralf Meyer: "Der Raum hinter den Räumen — Nichtkommutative Geometrie", Georgia Augusta 6 (2008).
• Eric Katz, Hannah Markwig and Thomas Markwig: "The j-invariant of a plane tropical cubic", Journal of Algebra 320 (2008), 3832-3848, arXiv:0709.3785 .
• Michael Kerber, Hannah Markwig: "Intersecting Psi-classes on tropical M_0,n", International Mathematics Research Notices 2008; arXiv:0709.3953, DOI.
• Hans-Christian Graf v. Bothmer: "Finite Field Experiments" (with an Appendix by Stefan Wiedmann), Higher-Dimensional Geometry over Finite Fields, Nato Science for Peace and Security Series, Vol. 16 (2008), p. 1-62, arXiv:0710.4268 .
• D. Buchholz, H. Grundling: "The resolvent algebra: A new approach to canonical quantum systems" J. Funct. Anal. 254 (2008) 2725-2779, DOI.
• D. Buchholz, S. J. Summers: "Warped convolutions: a novel tool in the construction of quantum field theories", in: Quantum Field Theory and Beyond, Proceedings Ringberg 2008, E. Seiler and K. Sibold, eds., World Scientific (2008).
• W. Dybalski: "A sharpened nuclearity condition and the uniqueness of the vacuum in QFT", Commun. Math. Phys. 283 (2008) 523-542, DOI.

Books edited

• Hermann Weyl: "Einführung in die Funktionentheorie" (Ralf Meyer, Samuel Patterson editors), Birkhäuser 2008, ISBN 978-3-7643-8845-4.