Journal of Symplectic Geometry

Volume 17 (2019)

Number 2

The Donaldson geometric flow for symplectic four-manifolds

Pages: 381 – 417

DOI: https://dx.doi.org/10.4310/JSG.2019.v17.n2.a3

Authors

Robin S. Krom (Departement Mathematik, Eidgenössische Technische Hochschule (ETH), Zürich, Switzerland)

Dietmar A. Salamon (Departement Mathematik, Eidgenössische Technische Hochschule (ETH), Zürich, Switzerland)

Abstract

This is an exposition of the Donaldson geometric flow on the space of symplectic forms on a closed smooth four-manifold, representing a fixed cohomology class. The original work appeared in “Moment maps and diffeomorphisms” [S. K. Donaldson, Asian J. Math. 3 (1999), 1–16].

Received 25 January 2016

Accepted 11 July 2018

Published 26 July 2019