Interactions between hyperbolic geometry, quantum topology, and number theory : workshop, June 3-13, 2009, conference, June 15-19, 2009, Columbia University, New ork, NY / [electronic resource]
Abhijit Champanerkar ... [et al.], editors.
- Providence, R.I. : American Mathematical Society, c2011.
- 1 online resource (xiii, 257 p. : ill.)
- Contemporary mathematics, v. 541 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 541. .
Includes bibliographical references.
An introduction to the volume conjecture / Quantum field theory and the volume conjecture / $R$-matrix knot invariants and triangulations / Knots and tropical curves / Quantum coadjoint action and the $6j$-symbols of $U_q_2$ / What is a sequence of Nilsson type? / From angled triangulations to hyperbolic structures / Triangulated 3-manifolds: from Haken's normal surfaces to Thurston's algebraic equation / An introduction to fully augmented links / Orbifolds and commensurability / Realizing arithmetic invariants of hyperbolic 3-manifolds / Fields of definition of canonical curves / Hitoshi Murakami -- Tudor Dimofte and Sergei Gukov -- R. M. Kashaev -- Stavros Garoufalidis -- St�ephane Baseilhac -- Stavros Garoufalidis -- David Futer and Fran�cois Gu�eritaud -- Feng Luo -- Jessica S. Purcell -- Genevieve S. Walsh -- Walter D. Neumann -- 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
9780821882207 (online)
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 geometry.
QA612.14 / .W67 2009
514/.22
Includes bibliographical references.
An introduction to the volume conjecture / Quantum field theory and the volume conjecture / $R$-matrix knot invariants and triangulations / Knots and tropical curves / Quantum coadjoint action and the $6j$-symbols of $U_q_2$ / What is a sequence of Nilsson type? / From angled triangulations to hyperbolic structures / Triangulated 3-manifolds: from Haken's normal surfaces to Thurston's algebraic equation / An introduction to fully augmented links / Orbifolds and commensurability / Realizing arithmetic invariants of hyperbolic 3-manifolds / Fields of definition of canonical curves / Hitoshi Murakami -- Tudor Dimofte and Sergei Gukov -- R. M. Kashaev -- Stavros Garoufalidis -- St�ephane Baseilhac -- Stavros Garoufalidis -- David Futer and Fran�cois Gu�eritaud -- Feng Luo -- Jessica S. Purcell -- Genevieve S. Walsh -- Walter D. Neumann -- 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
9780821882207 (online)
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 geometry.
QA612.14 / .W67 2009
514/.22