Geodesic
An example of higher-dimensional Heegaard Floer homology
Tian, Yin1 ; Yuan, Tianyu2
1School of Mathematical Sciences, Beijing Normal University, Beijing, China
2School of Mathematical Sciences, Eastern Institute of Technology, Ningbo, Zhejiang, China
Algebraic and Geometric Topology, Tome 25 (2025) no. 3, pp. 1877-1896
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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.

DOI : 10.2140/agt.2025.25.1877
Keywords: Heegaard Floer homology, Hecke algebra

Tian, Yin  1   ; Yuan, Tianyu  2

1 School of Mathematical Sciences, Beijing Normal University, Beijing, China
2 School of Mathematical Sciences, Eastern Institute of Technology, Ningbo, Zhejiang, China 
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Tian, Yin; Yuan, Tianyu. An example of higher-dimensional Heegaard Floer homology. Algebraic and Geometric Topology, Tome 25 (2025) no. 3, pp. 1877-1896. doi: 10.2140/agt.2025.25.1877

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