An example of higher-dimensional Heegaard Floer homology

2022/12/20 by Tian, Yin, Yuan, Tianyu · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2212.10187

Abstract

We count pseudoholomorphic curves in the higher-dimensional Heegaard Floer homology of disjoint cotangent fibers of a two dimensional disk. We show that the resulting algebra is isomorphic to the Hecke algebra associated to the symmetric group.

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• Higher-dimensional Heegaard Floer homology and the polynomial representation of double affine Hecke algebras

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