000 02535nam a22004218i 4500
001 CR9780511543111
003 UkCbUP
005 20200124160235.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2007||||enk o ||1 0|eng|d
020 _a9780511543111 (ebook)
020 _z9780521880220 (hardback)
020 _z9780521184762 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA613.2
_b.K76 2007
082 0 0 _a514/.3
_222
100 1 _aKronheimer, P. B.,
_eauthor.
245 1 0 _aMonopoles and three-manifolds /
_cPeter Kronheimer, Tomasz Mrowka.
246 3 _aMonopoles & Three-Manifolds
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (xii, 796 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNew mathematical monographs ;
_v10
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aOutlines -- 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.
520 _aOriginating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg-Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides a full discussion of a central part of the study of the topology of manifolds.
650 0 _aThree-manifolds (Topology)
650 0 _aHomology theory.
650 0 _aSeiberg-Witten invariants.
650 0 _aModuli theory.
700 1 _aMrowka, Tomasz,
_eauthor.
776 0 8 _iPrint version:
_z9780521880220
830 0 _aNew mathematical monographs ;
_v10.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511543111
999 _c517973
_d517971