Equivariant, string and leading order characteristic classes associated to fibrations

Andrés Larraín-Hubach, Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    Infinite rank vector bundles often appear as pushdowns of finite rank bundles from the total space of a fibration to the base space. The infinite rank bundles have string and leading order characteristic classes related to the characteristic classes of the finite rank bundles. We rewrite the S1-index theorem as a statement about equivariant leading order classes on loop spaces, interpret certain Gromov-Witten invariants in terms of leading order and string classes, show that the generators of the cohomology of a loop group are Chern-Simons string classes, and relate Donaldson invariants to leading order currents.

    Original languageEnglish
    Pages (from-to)34-52
    Number of pages19
    JournalJournal of Geometry and Physics
    Volume79
    DOIs
    Publication statusPublished - 2014 May

    Keywords

    • Characteristic classes
    • Donaldson classes
    • Equivariant index theorem
    • Gromov-Witten invariants
    • Infinite rank bundles
    • Loop group cohomology

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Geometry and Topology

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