4 papers
On certain -aspects of contactomorphism groups
Baptiste Serraille, Vukašin Stojisavljević
We study a number of questions related to the -topology of contactomorphisms and contact homeomorphisms. In particular, we show a connection between Rokhlin property of contac…
Harmonic functions with highly intersecting zero sets
Vukašin Stojisavljević
We show that the number of isolated zeros of a harmonic map inside the ball of radius can grow arbitrarily fast with , while its maximal mod…
Persistence modules, symplectic Banach-Mazur distance and Riemannian metrics
Vukašin Stojisavljević, Jun Zhang
We use persistence modules and their corresponding barcodes to quantitatively distinguish between different fiberwise star-shaped domains in the cotangent bundle of a fixed manifol…
Persistence modules with operators in Morse and Floer theory
Leonid Polterovich, Egor Shelukhin, Vukašin Stojisavljević
We introduce a new notion of persistence modules endowed with operators. It encapsulates the additional structure on Floer-type persistence modules coming from the intersection pro…