Some index formulae on the moduli space of stable parabolic vector bundles

Pierre Albin, Frédéric Rochon*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    Abstract

    We study natural families of ℓ-operators on the moduli space of stable parabolic vector bundles. Applying a families index theorem for hyperbolic cusp operators from our previous work, we find formulae for the Chern characters of the associated index bundles. The contributions from the cusps are explicitly expressed in terms of the Chern characters of natural vector bundles related to the parabolic structure. We show that our result implies formulae for the Chern classes of the associated determinant bundles consistent with a result of Takhtajan and Zograf.

    Original languageEnglish
    Pages (from-to)1-37
    Number of pages37
    JournalJournal of the Australian Mathematical Society
    Volume94
    Issue number1
    DOIs
    Publication statusPublished - Feb 2013

    Fingerprint

    Dive into the research topics of 'Some index formulae on the moduli space of stable parabolic vector bundles'. Together they form a unique fingerprint.

    Cite this