David Gay (University of Georgia) will speak in the topology seminar at
3:30pm, Thursday 20th November, in MSCS 422.
TITLE:
Trisections: Heegaard splittings for 4-manifolds
ABSTRACT:
This reports on joint work with Rob Kirby. We show that every smooth,
closed, oriented 4-manifold splits (uniquely up to stabilization) into 3
nice pieces in precise analogy with the way every smooth, closed, oriented
3-manifold is split (uniquely up to stabilization) by a Heegaard splitting
into 2 nice pieces. This talk will give definitions and examples to
highlight the striking parallels between the 3- and 4-dimensional theories,
and also to present several natural open questions.