Equivariant Laudenbach-Poénaru and Equivariant Trisections
Evan Scott (CUNY)
Abstract: The Laudenbach-Poénaru theorem is a foundational part of modern 4--manifold theory, allowing us to build commonly used combinatorial representations of 4--manifolds like Kirby Diagrams and Trisections. In recent joint works with Jeffrey Meier, we formulate and prove the right analogue to this theorem in the equivariant setting, i.e. where there is a finite group action on our 4--manifolds. We then use this theorem to develop the theory of equivariant Trisections. This talk aims to describe and explain the classical side first, then describe our equivariant Laudenbach-Poénaru theorem and the resulting equivariant Trisections with a few illustrative examples.