2 citations · 4 across the 7 of their papers we have counts for
9 papers
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…
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…
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.
Equivariant Lagrangian Floer homology via cotangent bundles of
Guillem Cazassus
We provide a construction of equivariant Lagrangian Floer homology , for a compact Lie group acting on a symplectic manifold in a Hamiltonian fashion, and a…
Tangles, relative character varieties, and holonomy perturbed traceless flat moduli spaces
Guillem Cazassus, Chris Herald, Paul Kirk
We prove that the restriction map from the subspace of regular points of the holonomy perturbed SU(2) traceless flat moduli space of a tangle in a 3-manifold to the traceless flat…
The correspondence induced on the pillowcase by the earring tangle
Guillem Cazassus, Christopher M. Herald, Paul Kirk +1
The earring tangle consists of four strands 4pt x [0,1] inside S^2 x [0,1] and one meridian around one of the strands. Equipping this tangle with a nontrivial SO(3) bundle, we show…
A two-category of Hamiltonian manifolds, and a (1+1+1) field theory
Guillem Cazassus
We define an extended field theory in dimensions , that takes the form of a `quasi 2-functor' with values in a strict 2-category , defined as the `c…
Symplectic Instanton Homology: naturality, and maps from cobordisms
Guillem Cazassus
We prove that Manolescu and Woodward's Symplectic Instanton homology, and its twisted versions are natural, and define maps associated to four dimensional cobordisms within this th…
Symplectic Instanton Homology: twisting, connected sums, and Dehn surgery
Guillem Cazassus
We define a twisted version of Manolescu and Woodward's Symplectic Instanton homology, prove that this invariant fits into the framework of Wehrheim and Woodward's Floer Field theo…