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- W4386794428 abstract "We construct an isomorphism between the wrapped higher-dimensional Heegaard Floer homology of $kappa$-tuples of cotangent fibers and $kappa$-tuples of conormal bundles of homotopically nontrivial simple closed curves in $T^*Sigma$ with a certain braid skein group, where $Sigma$ is a closed oriented surface of genus $> 0$ and $kappa$ is a positive integer. Moreover, we show this produces a (right) module over the surface Hecke algebra associated to $Sigma$. This module structure is shown to be equivalent to the polynomial representation of DAHA in the case where $Sigma=T^2$ and the cotangent fibers and conormal bundles of curves are both parallel copies." @default.
- W4386794428 created "2023-09-16" @default.
- W4386794428 creator A5092885743 @default.
- W4386794428 date "2023-09-14" @default.
- W4386794428 modified "2023-09-30" @default.
- W4386794428 title "A Floer-theoretic interpretation of the polynomial representation of the double affine Hecke algebra" @default.
- W4386794428 doi "https://doi.org/10.48550/arxiv.2309.07824" @default.
- W4386794428 hasPublicationYear "2023" @default.
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