Floer Theory, Arc Spaces and Singularities

Mark McLean ()
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Mark McLean: Stony Brook University

Chapter Chapter 7 in Handbook of Geometry and Topology of Singularities VII, 2025, pp 393-433 from Springer

Abstract: 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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-68711-2_7

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DOI: 10.1007/978-3-031-68711-2_7

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