Multisections of piecewise linear manifolds
Multisections of piecewise linear manifolds
Recently Gay and Kirby described a new decomposition of smooth closed 4-manifolds called a trisection.This paper generalises Heegaard splittings of 3-manifolds and trisections of 4-manifolds to all dimensions, using triangulations as a key tool.In particular, we prove that every closed piecewise linear n-manifold has a multisection, i.e. can be divided …