3 papers
math.AT2026
The Morse complex is an -functor
Guillem Cazassus
We show that the Morse complex of a compact Lie monoid can be given the structure of an -bialgebra, a chain-level version of bialgebras introduced in [CHM24]; and that this assi…
math.SG2025
Bialgebras, and Lie monoid actions in Morse and Floer theory, I
Guillem Cazassus, Alexander Hock, Thibaut Mazuir
We introduce a new family of oriented manifolds with boundaries called the forest biassociahedra and forest bimultiplihedra, generalizing the standard biassociahedra. They are defi…
math.SG2024
Equivariant Lagrangian Floer homology via multiplicative flow trees
Guillem Cazassus
We provide constructions of equivariant Lagrangian Floer homology groups, by constructing and exploiting an -module structure on the Floer complex.