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An example of
higher-dimensional Heegaard Floer homology
Yin Tian and Tianyu Yuan |
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Algebraic & Geometric Topology 25 (2025) 1877–1896
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Abstract |
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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. |
Keywords
Heegaard Floer homology, Hecke algebra
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Mathematical Subject Classification
Primary: 53D40
Secondary: 53D10
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References |
Publication
Received: 24 August 2023
Revised: 24 November 2023
Accepted: 18 December 2023
Published: 20 June 2025
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Authors |
| Yin Tian | |
| School of Mathematical
Sciences Beijing Normal University Beijing China |
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| Tianyu Yuan | |
| School of Mathematical
Sciences Eastern Institute of Technology, Ningbo Zhejiang China |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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