Floer Theory, Arc Spaces and Singularities

Mark McLean

doi:10.1007/9783031687112_7

Floer Theory, Arc Spaces and Singularities

Mark McLean

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We give a survey on the connections between Floer theory, arc spaces and singularities. We will start by defining Floer cohomology groups associated to isolated hypersurface singularities as well as contact loci and give some applications and conjectures. After that we speculate how a similar story can be applied to general isolated singularities. At the end of this survey we will look at quotient singularities and their connection with the cohomological McKay correspondence. Much of this article is speculative.

Original language	English
Title of host publication	Handbook of Geometry and Topology of Singularities VII
Publisher	Springer Nature
Pages	393-433
Number of pages	41
ISBN (Electronic)	9783031687112
ISBN (Print)	9783031687105
DOIs	https://doi.org/10.1007/9783031687112_7
State	Published - Jan 1 2025

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Floer Theory, Arc Spaces and Singularities

Abstract

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