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008			150903s2005 sz | o |||| 0|eng d
020			_a9783764373153 _99783764373153
024	7		_a10.1007/b137100 _2doi
035			_avtls000362688
039		9	_a201509031114 _bVLOAD _c201405070505 _dVLOAD _y201402211055 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA612-612.8
100	1		_aKreck, Matthias. _eautor _9350768
245	1	4	_aThe Novikov Conjecture : _bGeometry and Algebra / _cby Matthias Kreck, Wolfgang Lück.
264		1	_aBasel : _bBirkhäuser Basel, _c2005.
300			_axv, 266 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aA Motivating Problem -- to the Novikov and the Borel Conjecture -- Normal Bordism Groups -- The Signature -- The Signature Theorem and the Novikov Conjecture -- The Projective Class Group and the Whitehead Group -- Whitehead Torsion -- The Statement and Consequences of the s-Cobordism Theorem -- Sketch of the Proof of the s-Cobordism Theorem -- From the Novikov Conjecture to Surgery -- Surgery Below the Middle Dimension I: An Example -- Surgery Below the Middle Dimension II: Systematically -- Surgery in the Middle Dimension I -- Surgery in the Middle Dimension II -- Surgery in the Middle Dimension III -- An Assembly Map -- The Novikov Conjecture for ?n -- Poincaré Duality and Algebraic L-Groups -- Spectra -- Classifying Spaces of Families -- Equivariant Homology Theories and the Meta-Conjecture -- The Farrell-Jones Conjecture -- The Baum-Connes Conjecture -- Relating the Novikov, the Farrell-Jones and the Baum-Connes Conjectures -- Miscellaneous -- Exercises -- Hints to the Solutions of the Exercises.
520			_aThese lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given. Finally, the most recent developments concerning these conjectures are surveyed, including a detailed status report. The prerequisites consist of a solid knowledge of the basics about manifolds, vector bundles, (co-) homology and characteristic classes.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aLück, Wolfgang. _eautor _9350769
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764371418
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/b137100 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c310167 _d310167