Interactions between hyperbolic geometry, quantum topology, and number theory : [electronic resource] workshop, June 3-13, 2009, conference, June 15-19, 2009, Columbia University, New ork, NY / Abhijit Champanerkar ... [et al.], editors.

By: Workshop on Interactions between Hyperbolic Geometry, Quantum Topology and Number Theory (2009 : Columbia University)Contributor(s): Champanerkar, Abhijit, 1975-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 541.Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (xiii, 257 p. : ill.)ISBN: 9780821882207 (online)Subject(s): Low-dimensional topology -- Congresses | Manifolds (Mathematics) -- Congresses | Quantum field theory -- Congresses | Number theory -- Congresses | Manifolds and cell complexes -- Low-dimensional topology -- Low-dimensional topology | Several complex variables and analytic spaces -- Complex manifolds -- Complex manifolds | Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups and related topics | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras, quantum groups and related topics | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras and Lie superalgebras | Quantum theory -- Groups and algebras in quantum theory -- Groups and algebras in quantum theory | Quantum theory -- Quantum field theory; related classical field theories -- Quantum field theory; related classical field theories | Number theory -- Algebraic number theory: local and $p$-adic fields -- Algebraic number theory: local and $p$-adic fields | Algebraic geometry -- Tropical geometry -- Tropical geometryAdditional physical formats: Interactions between hyperbolic geometry, quantum topology, and number theory :DDC classification: 514/.22 LOC classification: QA612.14 | .W67 2009Other classification: 57Mxx | 32Qxx | 20Gxx | 16Txx | 17Bxx | 81Rxx | 81Txx | 11Sxx | 14Txx Online resources: Contents | Contents
Contents:
An introduction to the volume conjecture / Hitoshi Murakami -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10677 Quantum field theory and the volume conjecture / Tudor Dimofte and Sergei Gukov -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10678 $R$-matrix knot invariants and triangulations / R. M. Kashaev -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10679 Knots and tropical curves / Stavros Garoufalidis -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10680 Quantum coadjoint action and the $6j$-symbols of $U_q{\rm sl}_2$ / St�ephane Baseilhac -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10681 What is a sequence of Nilsson type? / Stavros Garoufalidis -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10682 From angled triangulations to hyperbolic structures / David Futer and Fran�cois Gu�eritaud -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10683 Triangulated 3-manifolds: from Haken's normal surfaces to Thurston's algebraic equation / Feng Luo -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10684 An introduction to fully augmented links / Jessica S. Purcell -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10685 Orbifolds and commensurability / Genevieve S. Walsh -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10686 Realizing arithmetic invariants of hyperbolic 3-manifolds / Walter D. Neumann -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10687 Fields of definition of canonical curves / D. D. Long and A. W. Reid -- http://www.ams.org/conm/541/ http://dx.doi.org/10.1090/conm/541/10688
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Includes bibliographical references.

An introduction to the volume conjecture / Hitoshi Murakami -- Quantum field theory and the volume conjecture / Tudor Dimofte and Sergei Gukov -- $R$-matrix knot invariants and triangulations / R. M. Kashaev -- Knots and tropical curves / Stavros Garoufalidis -- Quantum coadjoint action and the $6j$-symbols of $U_q{\rm sl}_2$ / St�ephane Baseilhac -- What is a sequence of Nilsson type? / Stavros Garoufalidis -- From angled triangulations to hyperbolic structures / David Futer and Fran�cois Gu�eritaud -- Triangulated 3-manifolds: from Haken's normal surfaces to Thurston's algebraic equation / Feng Luo -- An introduction to fully augmented links / Jessica S. Purcell -- Orbifolds and commensurability / Genevieve S. Walsh -- Realizing arithmetic invariants of hyperbolic 3-manifolds / Walter D. Neumann -- Fields of definition of canonical curves / D. D. Long and A. W. Reid --

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10677

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10678

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10679

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10680

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10681

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10682

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10683

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10684

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10685

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10686

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10687

http://www.ams.org/conm/541/

http://dx.doi.org/10.1090/conm/541/10688

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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