4 papers
Trapezoidality of flat arrangement polynomials
Yuan Gao, Tianyu Yuan
Fox's conjecture predicts that the absolute values of the coefficients of the Alexander polynomial of an alternating link form a trapezoidal sequence. Kálmán, Mészáros, and Postnik…
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 re…
Abstract categorical residues and Calabi-Yau structures
Yuan Gao
Inspired by the simple fact that a compact n-dimensional manifold-with-boundary which satisfies Poincaré-Lefschetz duality of dimension n has a boundary which itself satisfies Poin…
Fukaya A-infinity structure near infinity and the categorical formal completion
Yuan Gao
For a stopped Liouville manifold arising from a Liouville sector, we construct a symplectic analogue of the formal neighborhood of the stop on the level of Fukaya categories. This…