R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Relative Quasimaps and a Quantum Lefschetz Theorem
Navid Nabijou (University of Glasgow)
Abstract:
The theory of stable quasimaps is an important tool in enumerative geometry, providing an alternative system of curve counts to the usual Gromov-Witten invariants. In joint work with Luca Battistella, we define moduli spaces of relative stable quasimaps to a pair
, where
is a hyperplane section in
. Intuitively, these spaces parametrise quasimaps to
with specified orders of tangency to
. We apply this construction to obtain a Lefschetz-type formula, expressing certain quasimap invariants of
in terms of invariants of
.