This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and Yang-Baxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, Gromov-Witten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, Calabi-Yau problems for CR manifolds, Milnor's conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A,B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 229 mm
Breite: 155 mm
Dicke: 33 mm
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ISBN-13
978-981-281-910-9 (9789812819109)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Herausgeber*in
Univ Of California, Santa Barbara, Usa
Chern Inst Of Mathematics, China
Univ Of California, Berkeley, Usa
On Picture (2+1)-TQFTs (M Freedman et al.); Generalized Ricci Flow I: Local Existence and Uniqueness (C-L He et al.); Unitary Representations of the Artin Braid Groups and Quantum Algorithms for Colored Jones Polynomials and the WittenA-Reshetikhin Invariant (L H Kauffman & S J Lomonaco Jr.); A New Approach to Deriving Recursion Relations for the GromovA-Witten Theory (Y-S Kim & K Liu); Twisted L2A-AlexanderA-Conway Invariants for Knots (W Li & W Zhang); Existence of Knots of Minimum Energy and Topological Growth Laws in the Faddeev Model (F Lin & Y Yang); Additional Gradings in Khovanov Homology (V O Manturov); and other papers.
