3 papers
math.SG2025
Wrapped Floer homology and subcritical handle attachment
Filip Broćić
In this expository article, we present the proof of the invariance of the wrapped Floer homology under the subcritical handle attachment. This is proved by Irie. Here, we fix a min…
math.SG2024
The chord conjecture for conormal bundles
Filip Broćić, Dylan Cant, Egor Shelukhin
We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof…
math.SG2023
Bordism classes of loops and Floer's equation in cotangent bundles
Filip Broćić, Dylan Cant
For each representative of a bordism class in the free loop space of a manifold, we associate a moduli space of finite length Floer cylinders in the cotangent bundle…