Math @ Duke
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Publications [#52977] of Eric E. Katz
Papers Accepted
- Eric Edward Katz, Formalism for Relative Gromov-Witten Invariants,
Journal of Symplectic Geometry
(2005) [math.AG/0507321]
(last updated on 2007/01/08)
Author's Comments: This represents part of my Ph.D. thesis.
Abstract: We develop a formalism for relative
Gromov-Witten invariants of Li that is
analogous to the Symplectic Field Theory of
Eliashberg, Givental, and Hofer. This
formalism allows us to express natural
degeneration formulae in terms of generating
functions and re-derive the formulae of
Caporaso-Harris, Ran, and Vakil. In addition,
our framework gives a homology theory
analogous to SFT Homology.
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