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E-raamat: String-Math 2015

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This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015-January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.
Preface v
Superstring compactifications to all orders in α'
1(12)
Katrin Becker
Melanie Becker
Supersymmetric partition functions on Riemann surfaces
13(34)
Francesco Benini
Alberto Zaffaroni
On the mathematics and physics of Mixed Spin P-fields
47(28)
Huai-Liang Chang
Jun Li
Wei-Ping Li
Chiu-Chu Melissa Liu
Homological mirror functors via Maurer-Cartan formalism
75(18)
Cheol-Hyun Cho
Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds
93(40)
Charles F. Doran
Andrew Harder
Alan Thompson
SL(2,C) Chern-Simons theory and four-dimensional quantum geometry
133(16)
Muxin Han
Quantum cohomology under birational maps and transitions
149(20)
Yuan-Pin Lee
Hui-Wen Lin
Chin-Lung Wang
L2-kernels of Dirac-type operators on monopole moduli spaces
169(14)
Gregory W. Moore
Andrew B. Royston
Dieter Van den Bleeken
Correspondence: Instantons at crossroads and gauge origami
183(64)
Nikita Nekrasov
Balanced embedding of degenerating Abelian varieties
247(18)
Xiaowei Wang
Yuguang Zhang
The modularity/automorphy of Calabi-Yau varieties of CM type
265
Noriko Yui
Si Li, Tsinghua University, Beijing, China.

Bong H. Lian, Brandeis University, Waltham, MA.

Wei Song, Tsinghua University, Beijing, China.

Shing-Tung Yau, Harvard University, Cambridge, MA.