Geometry/Topology Seminar: Mapping Cone Cohomology and Fibrations
Speaker: Poom Lertpinyowong, University of California at Irvine
Abstract: Given a closed form ψ on a smooth manifold, a mapping cone
complex with respect to the map ψ∧ can be defined. It can be thought
of as an extension of the de Rham complex making the form ψ exact.
In addition, if |ψ| is even, the product structure can also be extended
to the mapping cone. It was first studied by Tanaka and Tseng in the
symplectic context.
In this talk, we will focus on computing the cohomology of such
cone complex for a type of fibrations with a closed form analogous to
the notion of symplectic fibrations.
Faculty Host: Xiang Tang