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math.AG2000
Twisted Higgs bundles and the fundamental group of compact Kähler manifolds
O. Garcia-Prada, S. Ramanan
We study polystable Higgs bundles twisted by a line bundle over a compact Kähler manifold. These form a Tannakian category when the first and second Chern classes of the bundle are…
math.AG1999
A duality for Spin Verlinde spaces and Prym theta functions
C. Pauly, S. Ramanan
We prove canonical isomorphisms between Spin Verlinde spaces, i.e, spaces of global sections of a determinant line bundle over the moduli space of semistable Spin-bundles over a sm…
math.AG1999
Trigonal curves and Galois Spin(8)-bundles
W. M. Oxbury, S. Ramanan
Let SU_C(2) denote the moduli variety of rank 2 semistable vector bundles with trivial determinant on an algebraic curve C. We prove that if C is trigonal then there exists a proje…