The Donaldson geometric flow for symplectic four-manifolds

2015/12/31 by Krom, Robin S., Salamon, Dietmar A. · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1512.09198

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 [1].

Cited by

• The space of closed G2-structures. II. concavity and hypersymplectic structures

Related

• The Donaldson geometric flow is a local smooth semiflow
• Remarks on the Donaldson metric
• Symplectic geometric flows
• Localisation of the Donaldson's invariants along Seiberg-Witten classes
• Convergence of the hypersymplectic flow on T⁴ with T³-symmetry