41 citations · 116 across the 19 of their papers we have counts for
16 papers · 1 filter
Large phenomena and quantization of the Loday-Quillen-Tsygan theorem
Grégory Ginot, Owen Gwilliam, Alastair Hamilton +1
We offer a new approach to large limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits…
The topological quantum field theory of Riemann's theta functions
Razvan Gelca, Alastair Hamilton
In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions a…
Classical theta functions from a quantum group perspective
Razvan Gelca, Alastair Hamilton
In this paper we construct the quantum group, at roots of unity, of abelian Chern-Simons theory. We then use it to model classical theta functions and the actions of the Heisenberg…
A nondiagrammatic description of the Connes-Kreimer Hopf algebra
Alastair Hamilton
We demonstrate that the fundamental algebraic structure underlying the Connes-Kreimer Hopf algebra -- the insertion pre-Lie structure on graphs -- corresponds directly to the canon…
Classes on the moduli space of Riemann surfaces through a noncommutative Batalin-Vilkovisky formalism
Alastair Hamilton
Using the machinery of the Batalin-Vilkovisky formalism, we construct cohomology classes on compactifications of the moduli space of Riemann surfaces from the data of a contractibl…
On the extension of a TCFT to the boundary of the moduli space
Alastair Hamilton
The purpose of this paper is to describe an analogue of a construction of Costello in the context of finite-dimensional differential graded Frobenius algebras which produces closed…