NON-ERGODICITY ON SU(2) AND SU(3) CHARACTER VARIETIES OF TH E ONCE-PUNCTURED TORUS

Giovanni Forni; William M. Goldman; Sean Lawton; Carlos Matheus

doi:10.5802/ahl.216

NON-ERGODICITY ON SU(2) AND SU(3) CHARACTER VARIETIES OF TH E ONCE-PUNCTURED TORUS

Giovanni Forni, William M. Goldman, Sean Lawton, Carlos Matheus

Research output: Contribution to journal › Article › peer-review

Abstract

Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.

Translated title of the contribution	NON-ERGODICITÉ SUR LES VARIÉTÉS DE CARACTÈRES POUR SU(2) ET SU(3) D’ UN TOREÉ POINTÉ
Original language	English
Pages (from-to)	1099-1130
Number of pages	32
Journal	Annales Henri Lebesgue
Volume	7
DOIs	https://doi.org/10.5802/ahl.216
Publication status	Published - 1 Jan 2024

Keywords

Character Variety
KAM Theory
Non-ergodicity

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10.5802/ahl.216

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title = "NON-ERGODICITY ON SU(2) AND SU(3) CHARACTER VARIETIES OF TH E ONCE-PUNCTURED TORUS",

abstract = "Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.",

keywords = "Character Variety, KAM Theory, Non-ergodicity",

author = "Giovanni Forni and Goldman, \{William M.\} and Sean Lawton and Carlos Matheus",

year = "2024",

month = jan,

day = "1",

doi = "10.5802/ahl.216",

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T1 - NON-ERGODICITY ON SU(2) AND SU(3) CHARACTER VARIETIES OF TH E ONCE-PUNCTURED TORUS

AU - Forni, Giovanni

AU - Goldman, William M.

AU - Lawton, Sean

AU - Matheus, Carlos

PY - 2024/1/1

Y1 - 2024/1/1

N2 - Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.

AB - Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.

KW - Character Variety

KW - KAM Theory

KW - Non-ergodicity

UR - https://www.scopus.com/pages/publications/86000063738

U2 - 10.5802/ahl.216

DO - 10.5802/ahl.216

M3 - Article

AN - SCOPUS:86000063738

SN - 2644-9463

VL - 7

SP - 1099

EP - 1130

JO - Annales Henri Lebesgue

JF - Annales Henri Lebesgue

ER -

NON-ERGODICITY ON SU(2) AND SU(3) CHARACTER VARIETIES OF TH E ONCE-PUNCTURED TORUS

Abstract

Keywords

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