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The Homology of Moduli Spaces on a Riemann Surface as a Representation of the Mapping Class Group
Author(s) -
Nelson Graham
Publication year - 1999
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611599012241
Subject(s) - mathematics , moduli space , riemann surface , compact riemann surface , homology (biology) , mapping class group , holonomy , pure mathematics , genus , combinatorics , algebra over a field , surface (topology) , geometry , biochemistry , chemistry , botany , biology , gene
Let M g,k be the moduli space of flat SU(2)‐connections on a compact Riemann surface Σ g of genus g ⩾ 2 punctured in a point p in a small open disc D , with holonomy (−1) k about ∂ D . This paper gives an explicit decomposition of the rational intersection homology of M g,k into irreducible representations of the oriented mapping class group Map + ( Σ g ) of Σ g . 1991 Mathematics Subject Classification : primary 14D20; secondary 14H60, 55N33.