Roman Krutowski

activity

20232026

collaborators

3 papers

math.SG2026

Obstructions to smoothing orbicurves and Orbifold Hecke algebras

Ko Honda, Roman Krutowski, Yin Tian +1

In this paper, we study obstructions to smoothing nodal orbicurves with orbighosts mapped into cyclic quotient singularities. As an application, we show, under some assumptions, th…

math.SG2025

Morse theory of loop spaces and Hecke algebras

Ko Honda, Roman Krutowski, Yin Tian +1

Given a smooth closed $n$ -manifold $M$ and a $κ$ -tuple of basepoints $q \subset M$ , we define a Morse-type $A_{\infty}$ -algebra $C M_{-*} (Ω (M, q))$ , called the…

math.SG2023

Heegaard Floer Symplectic homology and Viterbo's isomorphism theorem in the context of multiple particles

Roman Krutowski, Tianyu Yuan

Given a Liouville manifold $M$ , we introduce an invariant of $M$ that we call the Heegaard Floer symplectic cohomology $S H_{κ}^{*} (M)$ for any $κ \geq 1$ that coincides with the symplect…