The first cohomology of the mapping class group with coefficients in algebraic functions on the SL2(C) moduli space

Jørgen Ellegaard Andersen; Rasmus Villemoes

doi:10.2140/agt.2009.9.1177

The first cohomology of the mapping class group with coefficients in algebraic functions on the SL₂(C) moduli space

Jørgen Ellegaard Andersen, Rasmus Villemoes

Aarhus Universitet

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

Udgivelsesdato: 2009-06-10

Originalsprog	Engelsk
Tidsskrift	Algebraic & Geometric Topology
Vol/bind	9
Udgave nummer	2
Sider (fra-til)	1177-1199
Antal sider	23
ISSN	1472-2747
DOI	https://doi.org/10.2140/agt.2009.9.1177
Status	Udgivet - 2009
Udgivet eksternt	Ja

Dokumenter og links

10.2140/agt.2009.9.1177

Citationsformater

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title = "The first cohomology of the mapping class group with coefficients in algebraic functions on the SL2(C) moduli space",

abstract = "Consider a compact surface of genus at least two. We prove that the first cohomology group of the mapping class group with coefficients in the space of algebraic functions on the SL2(C) moduli space vanishes. In the genus one case, this cohomology group is infinite dimensional.",

author = "Andersen, {J{\o}rgen Ellegaard} and Rasmus Villemoes",

year = "2009",

doi = "10.2140/agt.2009.9.1177",

language = "English",

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T1 - The first cohomology of the mapping class group with coefficients in algebraic functions on the SL2(C) moduli space

AU - Andersen, Jørgen Ellegaard

AU - Villemoes, Rasmus

PY - 2009

Y1 - 2009

N2 - Consider a compact surface of genus at least two. We prove that the first cohomology group of the mapping class group with coefficients in the space of algebraic functions on the SL2(C) moduli space vanishes. In the genus one case, this cohomology group is infinite dimensional.

AB - Consider a compact surface of genus at least two. We prove that the first cohomology group of the mapping class group with coefficients in the space of algebraic functions on the SL2(C) moduli space vanishes. In the genus one case, this cohomology group is infinite dimensional.

U2 - 10.2140/agt.2009.9.1177

DO - 10.2140/agt.2009.9.1177

M3 - Journal article

SN - 1472-2747

VL - 9

SP - 1177

EP - 1199

JO - Algebraic & Geometric Topology

JF - Algebraic & Geometric Topology

IS - 2

ER -

The first cohomology of the mapping class group with coefficients in algebraic functions on the SL2(C) moduli space

Abstract

Dokumenter og links

Fingeraftryk

Citationsformater

The first cohomology of the mapping class group with coefficients in algebraic functions on the SL₂(C) moduli space