3 papers
math.SG2026
Braid Stability and a Floer theory of Braid Isotopies
Nicolas Grunder
We build a Floer theory on the space of braids of periodic orbits of a Hamiltonian flow on a closed symplectic surface. The differential and continuation maps are defined by counti…
math.SG2025
A non-autonomous Hamiltonian diffeomorphism with roots of all orders
Nicolas Grunder, Baptiste Serraille
We present a way of constructing non-autonomous Hamiltonian diffeomorphisms with roots of all orders by adapting the Anosov-Katok construction. This answers a question by Kathryn M…
math.QA2024
Differentials on Forested and Hairy Graph Complexes with Dishonest Hairs
Nicolas Grunder
We study the cohomology of forested graph complexes with ordered and unordered hairs whose cohomology computes the cohomology of a family of groups that generalize the (o…