Formalism for Relative Gromov-witten Invariants

نویسنده

  • ERIC KATZ
چکیده

We develop a formalism for relative Gromov-Witten invariants following Li [14, 15] that is analogous to the Symplectic Field Theory of Eliashberg, Givental, and Hofer [2]. This formalism allows us to express natural degeneration formulae in terms of generating functions and re-derive the formulae of Caporaso-Harris [1], Ran [19], and Vakil [21]. In addition, our framework gives a homology theory analogous to SFT Homology.

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تاریخ انتشار 2005