GW Invariants Relative Normal Crossings Divisors [article]

Eleny-Nicoleta Ionel
2014 arXiv   pre-print
In this paper we introduce a notion of symplectic normal crossings divisor V and define the GW invariant of a symplectic manifold X relative such a divisor. Our definition includes normal crossings divisors from algebraic geometry. The invariants we define in this paper are key ingredients in symplectic sum type formulas for GW invariants, and extend those defined in our previous joint work with T.H. Parker [IP1], which covered the case V was smooth. The main step is the construction of a
more » ... t moduli space of relatively stable maps into the pair (X, V) in the case V is a symplectic normal crossings divisor in X.
arXiv:1103.3977v3 fatcat:htcacynyqba2tibkvnacpytj6u