RT Book, Section
T1 Representation Variety for the Rank One Affine Group
A1 González Prieto, José Ángel
A1 Logares Jiménez, Marina Lucía
A1 Muñoz Velázquez, Vicente
AB The aim of this chapter is to study the virtual classes of representation varieties of surface groups onto the rank one affine group. We perform this calculation by three different approaches: the geometric method, based on stratifying the representation variety into simpler pieces; the arithmetic method, focused on counting their number of points over finite fields; and the quantum method, which performs the computation by means of a Topological Quantum Field Theory. We also discuss the corresponding moduli spaces of representations and character varieties, which turn out to be non-equivalent due to the non-reductiveness of the underlying group.
PB Springer
SN 978-3-030-84720-3
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/8864
UL https://hdl.handle.net/20.500.14352/8864
LA eng
NO González Prieto, Á., Logares Jiménez, M. L. & Muñoz Velázquez, V. «Representation Variety for the Rank One Affine Group». Mathematical Analysis in Interdisciplinary Research, editado por Ioannis N. Parasidis et al., vol. 179, Springer International Publishing, 2021, pp. 381-416. DOI.org (Crossref), https://doi.org/10.1007/978-3-030-84721-0_18.
DS Docta Complutense
RD 13 abr 2025