Gromov-Witten theory of a locally conformally symplectic manifold

28 Sep 2016 Yasha Savelyev

We initiate here the study of Gromov-Witten theory of locally conformally symplectic manifolds or $\lcs$ manifolds, $\lcsm$'s for short, which are a natural generalization of both contact and symplectic manifolds. We find that the main new phenomenon (relative to the symplectic case) is the potential existence of holomorphic sky catastrophes, an analogue for pseudo-holomorphic curves of sky catastrophes in dynamical systems originally discovered by Fuller... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • SYMPLECTIC GEOMETRY
  • DIFFERENTIAL GEOMETRY