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Representation variety for the rank one affine group
Citation
González-Prieto, Ángel, Logares Jiménez, Marina and Muñoz Velázquez, Vicente (2020). Representation variety for the rank one affine group. "Algebraic Geometry (math.AG)" ; pp. 1-28.
Description
| Title: | Representation variety for the rank one affine group |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Algebraic Geometry (math.AG) |
| Date: | 11 September 2020 |
| Subjects: | |
| Freetext Keywords: | TQFT; Moduli spaces; E-polynomial; Representation varieties |
| Faculty: | E.T.S.I. de Sistemas Informáticos (UPM) |
| Department: | Sistemas Informáticos |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
The aim of this paper 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.
More information
| Item ID: | 64351 |
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| DC Identifier: | https://oa.upm.es/64351/ |
| OAI Identifier: | oai:oa.upm.es:64351 |
| Official URL: | https://arxiv.org/abs/2005.01841v3 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 19 Jan 2021 10:18 |
| Last Modified: | 19 Jan 2021 10:18 |
