Roman Krutowski

works on

A∞-algebra 1 cyclic quotient singularities 1 orbicurves 1 orbifold Hecke algebra 1 smoothing obstructions 1 wrapped Fukaya category 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.SG2026

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…

math.SG2025

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 $S H_{I^}^{*} º (M)$ for any $I^º \geq 1$ that coincides with the symple…

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 $I^º$ -tuple of basepoints $q \subset M$ , we define a Morse-type $A_{\infty}$ -algebra $C M_{-*} (I^c ◯ (M, q))$ , called t…