Abstract
In this paper we modify our coordinate construction in [5] on the universal moduli
space of pair consisting of a Riemann surfaces and a stable holomorphic bundles on the Riemann
surface, so as to produce a new set of coordinates, which are in fact K¨ahler coordinates on this
universal moduli space. Using our K¨ahler coordinates, we are able to give a functional determinant
formula for the Ricci potential of the universal moduli space. As a corollary we compute the first
Chern-class of the universal moduli space.
space of pair consisting of a Riemann surfaces and a stable holomorphic bundles on the Riemann
surface, so as to produce a new set of coordinates, which are in fact K¨ahler coordinates on this
universal moduli space. Using our K¨ahler coordinates, we are able to give a functional determinant
formula for the Ricci potential of the universal moduli space. As a corollary we compute the first
Chern-class of the universal moduli space.
| Original language | English |
|---|---|
| Journal | Asian Journal of Mathematics |
| Volume | 23 |
| Issue number | 3 |
| Pages (from-to) | 369–382 |
| ISSN | 1093-6106 |
| DOIs | |
| Publication status | Published - Jun 2019 |
| Externally published | Yes |
Keywords
- Khler coordinates
- Ricci potential
- Universal moduli spaces
- Vector bundles