Parabolic principal Higgs bundles
Indranil Biswas
TL;DR
This paper extends the concept of Higgs bundles to the setting of ramified principal bundles, building on prior work that introduced ramified principal bundles, to explore their geometric and algebraic properties.
Contribution
It defines and studies Higgs bundles within the framework of ramified principal bundles, a novel extension of classical Higgs bundle theory.
Findings
Established the definition of ramified principal Higgs bundles.
Analyzed their structural properties and potential applications.
Connected ramified Higgs bundles to existing geometric theories.
Abstract
In ``Ramified G-bundles as parabolic bundles'' (J. Ramanujan Math. Soc. (2003) Vol. 18) with Balaji and Nagaraj we introduced the ramified principal bundles. The aim here is to define the Higgs bundles in the ramified context.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology