edited by Kevin Lin (University of California at Berkeley, USA), Zhenghan Wang (Microsoft Research Station Q USA), & Weiping Zhang (Chern Institute of Mathematics, China)

Table of Contents (97k)
Preface (44k)
Chapter 1: The Modified Calabi-Yau Problems for CR-manifolds* (287k)

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 It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference.

• 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 Witten–Reshetikhin Invariant (L H Kauffman & S J Lomonaco Jr.)
• A New Approach to Deriving Recursion Relations for the Gromov–Witten Theory (Y-S Kim & K Liu)
• Twisted L²–Alexander–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