Gromov Witten invariants for maximal parabolic vector bundles over an orbifold
Francois Xavier Machu
TL;DR
This paper introduces Gromov-Witten invariants for parabolic bundles over orbifolds, refining their definition to accurately count maximal subbundles using the Intriligator-Vafa formula.
Contribution
It extends the concept of Gromov-Witten invariants to parabolic bundles on orbifolds and refines their computation for counting maximal subbundles.
Findings
Defined Gromov-Witten invariants for parabolic bundles on orbifolds
Refined the notion for precise counting of maximal subbundles
Applied Intriligator-Vafa formula for computations
Abstract
We define the Gromov-Witten invariants for the parabolic bundles over an orbifold in various situation. Those bring us to refine this notion to get an accurate computation of the number of maximal subbundles of a sufficiently general parabolic bundle by means of the Intriligator-Varfa formula.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology