000			03238nam a22004935i 4500
003			DE-He213
005			20191011075835.0
007			cr nn 008mamaa
008			111201s2011 xxu| s |||| 0|eng d
020	6	4	_a9781461411055 _9978-1-4614-1105-5
024	8	7	_a10.1007/978-1-4614-1105-5 _2doi
050	8	4	_aQA614-614.97
072	8	7	_aPBKS _2bicssc
072	8	7	_aMAT034000 _2bisacsh
082			_a514.74 _223
100	8	1	_aNicolaescu, Liviu. _eauthor. _972282
245			_aAn Invitation to Morse Theory _h[electronic resource] / _cby Liviu Nicolaescu.
001			000054582
300	6	4	_aXVI, 353p. 47 illus. _bonline resource.
490	8	1	_aUniversitext, _x0172-5939
505	8	0	_aPreface -- Notations and Conventions -- 1 Morse Functions -- 2 The Topology of Morse Functions -- 3 Applications -- 4 Morse-Smale Flows and Whitney Stratifications -- 5 Basics of Complex Morse Theory -- 6 Exercises and Solutions -- References -- Index.
520	6	4	_aThis self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory. The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a. Picard-Lefschetz theory. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The exposition is enhanced with examples, problems, and illustrations, and will be of interest to graduate students as well as researchers. The reader is expected to have some familiarity with cohomology theory and with the differential and integral calculus on smooth manifolds. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition.
650	8	0	_aMathematics. _98571
650	8	0	_aGlobal analysis. _917903
650	8	0	_aGlobal differential geometry. _99530
650	8	0	_aCell aggregation _xMathematics. _912625
650			_aMathematics. _98571
650			_aGlobal Analysis and Analysis on Manifolds. _917904
650			_aDifferential Geometry. _99532
650			_aManifolds and Cell Complexes (incl. Diff.Topology). _912627
710	8	2	_aSpringerLink (Online service) _972283
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9781461411048
830	8	0	_aUniversitext, _x0172-5939 _99677
856			_uhttp://dx.doi.org/10.1007/978-1-4614-1105-5 _zde clik aquí para ver el libro electrónico
264	8	1	_aNew York, NY : _bSpringer New York, _c2011.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
999			_c54312 _d54312
942			_c05