• Determinants of parabolic bundles on Riemann surfaces

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/103/01/0041-0071

• # Keywords

Parabolic bundles; Riemann surfaces; Kähler metric; Chern forms; π-bundles; Hermitian line bundles; parabolic determinant bundles

• # Abstract

LetX be a compact Riemann surface andMsp(X) the moduli space of stable parabolic vector bundles with fixed rank, degree, rational weights and multiplicities. There is a natural Kähler metric onMsp(X). We obtain a natural metrized holomorphic line bundle onMsp(X) whose Chern form equalsmr times the Kähler form, wherem is the common denominator of the weights andr the rank.

• # Author Affiliations

1. School of Mathematics, Tata Institute of Fundamental Research, Bombay - 400005, India
2. School of Mathematics, SPIC Science Foundation, 92, G.N. Chetty Road, Madras - 600017, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019