1202.5213 (Rukmini Dey et al.)

Holomorphic Quillen determinant line bundles on integral compact Kahler
manifolds    [PDF]

Rukmini Dey, Varghese Mathai

We show that any compact Kahler manifold with integral Kahler form, parametrizes a natural holomorphic family of Cauchy-Riemann operators on the Riemann sphere such that the Quillen determinant line bundle of this family is isomorphic to the holomorphic line bundle determined by the integral Kahler form. We also establish a symplectic version of the result. We conjecture that an equivariant version of our result is true.

View original: http://arxiv.org/abs/1202.5213