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

Yuan Gao, Eilon Reisin-Tzur, Yin Tian +1

We show that the higher-dimensional Heegaard Floer homology between tuples of cotangent fibers and the conormal bundle of a homotopically nontrivial simple closed curve on $T^2$ re…