Alastair Hamilton is a mathematician at the University of Connecticut.
On the integer Heisenberg group describing the phase space of abelian Chern-Simons theory on closed Riemann surfaces (and its relation to skein relations and theta functions):
Răzvan Gelca, Alastair Hamilton: Classical theta functions from a quantum group perspective, New York J. Math. 21 (2015) 93–127 [arXiv:1209.1135, nyjm:j/2015/21-4]
Răzvan Gelca, Alastair Hamilton: The topological quantum field theory of Riemann’s theta functions, Journal of Geometry and Physics 98 (2015) 242-261 [doi:10.1016/j.geomphys.2015.08.008, arXiv:1406.4269]
On a kind of BV-quantization of the Loday-Quillen-Tsygan theorem and relating to the large -limit of Chern-Simons theory:
See also:
On the extension of a TCFT to the boundary of the moduli space. arXiv/1002.2670.
Cohomology theories for homotopy algebras and noncommutative geometry (with A. Lazarev). Algebr. Geom. Topol. 9 (2009), 1503–1583, arxiv/0707.3937
Classes on compactifications of the moduli space of curves through solutions to the quantum master equation. Lett. Math. Phys. 89 (2009), no. 2, 115–130.
Noncommutative geometry and compactifications of the moduli space of curves. Journal of Noncommutative Geometry 4, 2, pp. 157–188, 2010, arXiv/0710.4603
Graph cohomology classes in the Batalin-Vilkovisky formalism (with A. Lazarev). J. Geom. Phys. 59 (2009), no. 5, 555–575, arxiv/0701825
Characteristic classes of A-infinity algebras (with A. Lazarev). J. Homotopy Relat. Struct. 3 (2008), no. 1, 65–111, math.QA/0608395
Symplectic C-infinity algebras (with A. Lazarev). Mosc. Math. J. 8 (2008), no. 3, 443–475, 615, arxiv/0707.3951
Symplectic A-infinity algebras and string topology operations (with A. Lazarev). Amer. Math. Soc. Transl. (2), Vol. 224, 2008, 147–157, arxiv/0707.4003
A super-analogue of Kontsevich’s theorem on graph homology. Lett. Math. Phys. 76 (2006), no. 1, 37–55, math.QA/0510390
On the classification of Moore algebras and their deformations. Homology, Homotopy Appl. 6 (2004), no. 1, 87–107, math.QA/0304314
Homotopy algebras and noncommutative geometry (with A. Lazarev). math.QA/0410621
Last revised on April 14, 2025 at 08:23:08. See the history of this page for a list of all contributions to it.