000 02480nam a22004455i 4500
001 978-3-030-28433-6
003 DE-He213
005 20200812131700.0
007 cr nn 008mamaa
008 191110s2019 gw | s |||| 0|eng d
020 _a9783030284336
_9978-3-030-28433-6
024 7 _a10.1007/978-3-030-28433-6
_2doi
040 _cCUS
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aTeleman, Neculai S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFrom Differential Geometry to Non-commutative Geometry and Topology
_h[electronic resource] /
_cby Neculai S. Teleman.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXXII, 398 p. 12 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1. Part I Spaces, bundles and characteristic classes in differential geometry -- 2. Part II Non-commutative differential geometry -- 3. Part III Index Theorems -- 4. Part IV Prospects in Index Theory. Part V -- 5. Non-commutative topology.
520 _aThis book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.
650 0 _aDifferential geometry.
650 0 _aManifolds (Mathematics).
650 0 _aComplex manifolds.
650 1 4 _aDifferential Geometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M21022
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0https://scigraph.springernature.com/ontologies/product-market-codes/M28027
856 4 0 _uhttps://doi.org/10.1007/978-3-030-28433-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
942 _cEBK
999 _c205972
_d205972