Publications [#46187] of Eric E. Katz

Preprints

1. Eric Edward Katz, Line-Bundles on Stacks of Relative Maps (2005) [math.AG/0507322]
   (last updated on 2006/03/04)

   Author's Comments:
   This represents part of my Ph.D. thesis.

   Abstract:
   This paper provides some technical results needed in "Formalism for Relative Gromov-Witten Invariants." We study line-bundles on the moduli stacks of relative stable and rubber maps that are used to define relative Gromov-Witten invariants in the sense of J. Li. Relations between these line-bundles yield degeneration formulae. In addition we prove a technical result called the Trivial Cylinders Theorem.