21 citations · 77 across the 6 of their papers we have counts for
7 papers
Minimal models of quantum homotopy Lie algebras via the BV-formalism
Christopher Braun, James Maunder
Using the BV-formalism of mathematical physics an explicit construction for the minimal model of a quantum L-infinity-algebra is given as a formal super integral. The approach take…
Derived localisation of algebras and modules
Christopher Braun, Joseph Chuang, Andrey Lazarev
For any dg algebra , not necessarily commutative, and a subset in , the homology of , we construct its derived localisation together with a map $A\to L_S(A…
Unimodular homotopy algebras and Chern-Simons theory
Christopher Braun, Andrey Lazarev
Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infin…
Homotopy BV algebras in Poisson geometry
Christopher Braun, Andrey Lazarev
We define and study the degeneration property for BV-infinity algebras and show that it implies that the underlying L-infinity algebras are homotopy abelian. The proof is based on…
Operads and moduli spaces
Christopher Braun
This thesis is concerned with the application of operadic methods, particularly modular operads, to questions arising in the study of moduli spaces of surfaces as well as applicati…
Involutive A-infinity algebras and dihedral cohomology
Christopher Braun
We define and study the cohomology theories associated to A-infinity algebras and cyclic A-infinity algebras equipped with an involution, generalising dihedral cohomology to the A-…