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arXiv · 1811.09042

SYZ mirror symmetry from Witten-Morse theory

Ziming Nikolas Ma
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Abstract

This is a survey article on the recent progress in understanding the Strominger-Yau-Zaslow (SYZ) mirror symmetry conjecture, especially on the effect of quantum corrections, via Witten-Morse theory using the program first depicted by Fukaya to obtain an explicit relation between differential geometric operations, e.g. wedge product of differential forms and Lie-bracket of the Kodaira-Spencer complexes, with combinatorial structures, e.g. Morse $A_\infty$ structures and scattering diagrams.

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Ziming Nikolas Ma. 2018-11-22. SYZ mirror symmetry from Witten-Morse theory. https://arxiv.org/abs/1811.09042

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