From the 1 of 6 linked papers with an AI index.
6 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…
Obstructions to smoothing orbicurves and Orbifold Hecke algebras
Ko Honda, Roman Krutowski, Yin Tian +1
The paper studies when nodal orbicurves with orbifold points mapping to cyclic quotient singularities can be smoothed, and uses these results to identify the orbifold Hecke algebra…
The Algebra of Free Fermions: Classifying Spaces, Hamiltonians, and Computation
Tian Yuan, Yang Qi
Research on topological phases of matter is a core field in modern condensed matter physics. Free fermion systems, such as topological insulators and superconductors, have been stu…
Higher-dimensional Heegaard Floer homology and spectral networks
Ko Honda, Yin Tian, Tianyu Yuan
Given a closed surface and a real exact Lagrangian associated to a spectral curve, we construct a homomorphism $\operatorname{BSk}_κ(C)\to\operatorname{Mat}(N…
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…
Morse theory of loop spaces and Hecke algebras
Ko Honda, Roman Krutowski, Yin Tian +1
Given a smooth closed -manifold and a -tuple of basepoints , we define a Morse-type -algebra , called t…