Surveys in Differential Geometry

Volume 25 (2020)

Geometric methods in Heegaard theory

Pages: 33 – 70



Tobias Holck Colding (Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass., U.S.A.)

David Gabai (Department of Mathematics, Princeton University Princeton, New Jersey, U.S.A.)

Daniel Ketover (Department of Mathematics, Rutgers University, Piscataway, New Jersey, U.S.A.)


We survey some recent geometric methods for studying Heegaard splittings of $3$-manifolds.

The first author was partially supported by NSF Grants DMS 1404540, DMS 181214, FRG DMS 0854774; the second author by DMS-1006553, DMS-1607374, DMS-2003892 and NSF FRG grant DMS-0854969; and the third author by an NSF Postdoctoral Fellowship and NSF Grant DMS-1906385.

Published 13 July 2022