Monopoles and three-manifolds /
Peter Kronheimer, Tomasz Mrowka.
- 1st pbk. ed.
- Cambridge, UK ; New York : Cambridge University Press, 2011.
- xii, 796 p. : ill. ; 23 cm.
- New mathematical monographs ; 10 .
- New mathematical monographs ; 10. .
Originally published: 2007.
Includes bibliographical references (p. 779-784) and index.
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.