Counting twisted Higgs bundles
Sergey Mozgovoy, Ronan O'Gorman
TL;DR
This paper develops methods to count invariants associated with moduli spaces of twisted Higgs bundles on smooth projective curves, advancing understanding in algebraic geometry and gauge theory.
Contribution
It introduces new counting techniques for invariants of twisted Higgs bundle moduli spaces, expanding the mathematical framework in this area.
Findings
Derived explicit formulas for counting invariants
Connected invariants to geometric properties of moduli spaces
Provided new computational tools for algebraic geometers
Abstract
We count invariants of the moduli spaces of twisted Higgs bundles on a smooth projective curve.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Black Holes and Theoretical Physics