Format:
1 Online-Ressource (xxxi, 433 Seiten)
,
Illustrationen
ISBN:
9789814470650
,
9789812819116
Series Statement:
Nankai tracts in mathematics v. 12
Content:
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 It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference
Content:
pt. A. Invited contributions. The modified Calabi-Yau problems for CR-manifolds / J. Cao and S.-C. Chang. On picture (2+1)-TQFTs / M. Freedman ... [et al.]. Berry phase in Yang-Baxter approach related to entangled states and the Yang-Baxterization of braid relation for two-state anyon model / M.-L. Ge, L. Kauffman and K. Xue. On a conjecture of Milnor about volume of simplexes / R. Guo and F. Luo. On the classification of links up to finite type / N. Habegger and J. B. Meilhan. 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 Witten-Reshetikhin invariant / L. H. Kauffman and S. J. Lomonaco Jr. A new approach to deriving recursion relations for the Gromov-Witten theory / Y.-S. Kim and K. Liu. Link groups and the A-B slice problem / V.-S. Krushkal. Twisted L[symbol]-Alexander-Conway invariants for knots / W. Li and W. Zhang. Existence of knots of minimum energy and topological growth laws in the Faddeev model / F. Lin and Y. Yang. On translation invariant symmetric polynomials and Haldane's conjecture / J. Liptrap. Additional gradings in Khovanov homology / V. O. Manturov. Towards the large N duality between the Chern-Simons gauge theory and the topological string theory / P. Peng. On the Heegaard genera of 3-manifolds containing non-separating surfaces / R. Qiu and F. Lei. A geometric categorification of representations of [symbol] / H. Zheng -- pt. B. Xiao-Song Lin's unpublished papers. Editor's notes. Markov theorems for links in 3-manifolds. Vertex Models, quantum groups, and Vassiliev's knot invariants. Knot invariants and iterated integrals. Invariants of Legendrian knots. The motion group of the unlink and its representations -- pt. C. Lin Award, speeches and writings. Lin Award information. Selected speeches at the funeral. Freedman's writings on Lin. Jian-Pin He's speech.
Additional Edition:
ISBN 9789812819109
Language:
English
Keywords:
Electronic books
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Konferenzschrift
URL:
http://www.worldscientific.com/worldscibooks/10.1142/6907#t=toc
