2013Communications in AlgebraOpen access

A Construction of Chern Classes of Parabolic Vector Bundles

Indranil Biswas, Ajneet Dhillon

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Abstract

Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. These are analogs of the projectivization and tautological line bundle for an usual vector bundle. Using these we give a construction of the parabolic Chern classes.

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Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. These are analogs of the projectivization and tautological line bundle for an usual vector bundle. Using these we give a construction of the parabolic Chern classes.

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Available abstract

Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. These are analogs of the projectivization and tautological line bundle for an usual vector bundle. Using these we give a construction of the parabolic Chern classes.

Key concepts: Vector bundle, Tautological line bundle, Line bundle, Bundle, Chern class, Vector-valued differential form, Splitting principle, Construct (python library)

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