The Homology of Moduli Spaces on a Riemann Surface as a Representation of the Mapping Class Group | Zendy

Nelson Graham | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research