Monopoles and three-manifolds / Peter Kronheimer, Tomasz Mrowka.

• Outlines -- The Seiberg-Witten equations and compactness -- Hilbert manifolds and perturbations -- Moduli spaces and transversality -- Compactness and gluing -- Floer homology -- Cobordisms and invariance -- Non-exact perturbations -- Calculations -- Further developments.

• This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. 

Ämnesord

Three-manifolds (Topology)  (LCSH)

Homology theory.  (LCSH)

Seiberg-Witten invariants.  (LCSH)

Moduli theory.  (LCSH)

Klassifikation

QA613.2 (LCC)

514.34 (DDC)

57R57 (msc)

Tepd (kssb/8 (machine generated))