Coisotropic Luttinger surgery and some new symplectic 6-manifolds with vanishing canonical class

Details Coisotropic Luttinger surgery and some new symplectic 6-manifolds with vanishing canonical class Coisotropic Luttinger surgery and some new symplectic 6-manifolds with vanishing canonical class

2011-05-18

arxiv.org/abs/1105.3519v1

Mathematics

Geometric Topology

11 pages

Scientific paper

We introduce a surgery operation on symplectic manifolds called coisotropic
Luttinger surgery, which generalizes Luttinger surgery on Lagrangian tori in
symplectic 4-manifolds. We use it to produce infinitely many distinct
symplectic non-Kahler 6-manifolds $X$ with $c_1(X)=0$ which are not of the form
$M\times F$ for $M$ a symplectic 4-manifold and $F$ a closed surface.

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