Kronheimer, P. B.

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.

9780521184762 (pbk.) 0521184762 (pbk.)

2010537652

GBB0B3790 bnb

015654235 Uk


Three-manifolds (Topology)
Homology theory.
Seiberg-Witten invariants.
Moduli theory.

QA613.2 / .K76 2011

514.34