Regularity of the Donaldson Geometric Flow
OPEN ACCESS
Author / Producer
Date
2022-09
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
OPEN ACCESS
Data
Rights / License
Abstract
We prove a regularity theorem for the solutions of the Donaldson geometric flow equation
on the space of symplectic forms on a closed smooth four-manifold, representing a fixed cohomology class. The minimal initial conditions lay in the Besov space B1,p 2 (M, Λ2) for p > 4. The Donaldson geometric flow was introduced by Simon Donaldson in Donaldson (Asian J. Math. 3, 1–16 1999). For a detailed exposition see Krom and Salamon (J. Symplectic Geom. 17, 381–417 2019).
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
47 (3)
Pages / Article No.
611 - 633
Publisher
Springer
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Donaldson geometric flow; Uniqueness of symplectic structures
Organisational unit
02000 - Dep. Mathematik / Dep. of Mathematics