Examples of character varieties in characteristic p and ramification

Joan Porti Pique; Luisa Paoluzzi

Examples of character varieties in characteristic p and ramification

Joan Porti Pique, Luisa Paoluzzi

Aix-Marseille University

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Resum

We study SL₂(F)-character varieties of knots over algebraically closed f ields F. We give a sufficient condition in terms of the double branched cover of a 2-bridge knot (or, equivalently, of its Alexander polynomial) on the characteristic of F, an odd prime, for the SL₂(F)-character variety to present ramification phenomena. Finally we provide several explicit computations of character varieties to illustrate the result, exhibiting also other types of ramification.

Idioma original	Anglès
Títol de la publicació	Characters in Low-Dimensional Topology (Contemporary Math)
Estat de la publicació	Publicada - 2020

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https://ddd.uab.cat/record/265228

Invariantes locales y globales en geometria
Solanes Farres, G. (Investigador/a principal), Balacheff , F. N. (Co-Investigador/a Principal), Rubio Nuñez, R. (Col.laborador/a), Gallego Gomez, E. (Investigador/a), Heusener, M. (Investigador/a), Marin Perez, D. (Investigador/a), Meersseman, L. (Investigador/a), Nicolau Reig, M. (Investigador/a), Porti Pique, J. (Investigador/a), Reventos Tarrida, A. (Investigador/a) & Mijares i Verdú, S. (Col.laborador/a)
Ministerio de Ciencia e Innovación (MICINN), Fons Europeu de Desenvolupament Regional (FEDER)
1/01/19 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

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title = "Examples of character varieties in characteristic p and ramification",

abstract = "We study SL2(F)-character varieties of knots over algebraically closed f ields F. We give a sufficient condition in terms of the double branched cover of a 2-bridge knot (or, equivalently, of its Alexander polynomial) on the characteristic of F, an odd prime, for the SL2(F)-character variety to present ramification phenomena. Finally we provide several explicit computations of character varieties to illustrate the result, exhibiting also other types of ramification.",

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year = "2020",

language = "English",

booktitle = "Characters in Low-Dimensional Topology (Contemporary Math)",

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T1 - Examples of character varieties in characteristic p and ramification

AU - Porti Pique, Joan

AU - Paoluzzi, Luisa

PY - 2020

Y1 - 2020

N2 - We study SL2(F)-character varieties of knots over algebraically closed f ields F. We give a sufficient condition in terms of the double branched cover of a 2-bridge knot (or, equivalently, of its Alexander polynomial) on the characteristic of F, an odd prime, for the SL2(F)-character variety to present ramification phenomena. Finally we provide several explicit computations of character varieties to illustrate the result, exhibiting also other types of ramification.

AB - We study SL2(F)-character varieties of knots over algebraically closed f ields F. We give a sufficient condition in terms of the double branched cover of a 2-bridge knot (or, equivalently, of its Alexander polynomial) on the characteristic of F, an odd prime, for the SL2(F)-character variety to present ramification phenomena. Finally we provide several explicit computations of character varieties to illustrate the result, exhibiting also other types of ramification.

M3 - Chapter

BT - Characters in Low-Dimensional Topology (Contemporary Math)

ER -

Examples of character varieties in characteristic p and ramification

Resum

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Invariantes locales y globales en geometria

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