Monopoles and Three-Manifolds

Informationen zum Autor Peter Kronheimer is William Caspar Graustein Professor in the Department of Mathematics at Harvard University. He is a Fellow of the Royal Society and has been awarded several distinguished prizes including the 2007 Oswald Veblen Prize. He is co-author, with S. K. Donaldson, of The Geometry of Four-Manifolds. His research interests are gauge theory, low-dimensional topology and geometry. Tomasz Mrowka is Professor of Mathematics at Massachusetts Institute of Technology. He holds the James and Marilyn Simons Professorship of Mathematics and is a Member of the American Academy of Arts and Sciences. He was a joint recipient (with Peter Kronheimer) of the 2007 Oswald Veblen Prize. His research interests are low-dimensional topology, partial differential equations and mathematical physics. Klappentext A comprehensive treatment of Floer homology, based on the Seiberg-Witten equations, first published in 2007. Zusammenfassung This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg–Witten equations. Suitable for beginning graduate students and researchers in the field, this book provides a full discussion of a central part of the study of the topology of manifolds. Inhaltsverzeichnis Preface; 1. Outlines; 2. The Seiberg-Witten equations and compactness; 3. Hilbert manifolds and perturbations; 4. Moduli spaces and transversality; 5. Compactness and gluing; 6. Floer homology; 7. Cobordisms and invariance; 8. Non-exact perturbations; 9. Calculations; 10. Further developments; References; Glossary of notation; Index.

Product details

• Authors: Peter Kronheimer, Peter (Harvard University Kronheimer, Peter Mrowka Kronheimer, Kronheimer Peter, Tomasz Mrowka, Tomasz (Massachusetts Institute of Technology) Mrowka, Mrowka Tomasz
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 25.11.2010
• EAN: 9780521184762
• ISBN: 978-0-521-18476-2
• No. of pages: 808
• Series: New Mathematical Monographs; New Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Topologie, MATHEMATICS / Geometry / Differential, MATHEMATICS / Topology, Mathematics, Algebraic Topology