41 citations · 116 across the 19 of their papers we have counts for
5 papers · 1 filter
Noncommutative geometry and compactifications of the moduli space of curves
Alastair Hamilton
In this paper we show that the homology of a certain natural compactification of the moduli space, introduced by Kontsevich in his study of Witten's conjectures, can be described c…
Symplectic -algebras and string topology operations
Alastair Hamilton, Andrey Lazarev
In this paper we establish the existence of certain structures on the ordinary and equivariant homology of the free loop space on a manifold or, more generally, a formal Poincaré d…
Symplectic -algebras
Alastair Hamilton, Andrey Lazarev
In this paper we show that a strongly homotopy commutative (or -) algebra with an invariant inner product on its cohomology can be uniquely extended to a symplectic $C_\i…
Cohomology theories for homotopy algebras and noncommutative geometry
Alastair Hamilton, Andrey Lazarev
This paper builds a general framework in which to study cohomology theories of strongly homotopy algebras, namely and -algebras. This framework is ba…
Graph cohomology classes in the Batalin-Vilkovisky formalism
Alastair Hamilton, Andrey Lazarev
We give a conceptual formulation of Kontsevich's `dual construction' producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our…