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010   $a1-280-39176-6
010   $a9786613569684
010   $a3-642-12589-1
024 7 $a10.1007/978-3-642-12589-8
035   $a(CKB)2670000000028900
035   $a(SSID)ssj0000449722
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035   $a(PQKBTitleCode)TC0000449722
035   $a(PQKBWorkID)10434253
035   $a(PQKB)10885956
035   $a(DE-He213)978-3-642-12589-8
035   $a(MiAaPQ)EBC3065387
035   $a(PPN)149063113
035   $a(EXLCZ)992670000000028900
100   $a20100623d2010      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aIntersection Spaces, Spatial Homology Truncation, and String Theory$b[electronic resource] /$fby Markus Banagl
205   $a1st ed. 2010.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010.
215   $a1 online resource (XVI, 224 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1997
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-12588-3 
320   $aIncludes bibliographical references (p. 211-213) and index.
330   $aIntersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality. The cornerstone of the method is a process of spatial homology truncation, whose functoriality properties are analyzed in detail. The material on truncation is autonomous and may be of independent interest to homotopy theorists. The cohomology of intersection spaces is not isomorphic to intersection cohomology and possesses algebraic features such as perversity-internal cup-products and cohomology operations that are not generally available for intersection cohomology. A mirror-symmetric interpretation, as well as applications to string theory concerning massless D-branes arising in type IIB theory during a Calabi-Yau conifold transition, are discussed.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1997
606   $aAlgebraic geometry
606   $aGeometry
606   $aAlgebraic topology
606   $aTopology
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aQuantum field theory
606   $aString theory
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
606   $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
606   $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048
615  0$aAlgebraic geometry.
615  0$aGeometry.
615  0$aAlgebraic topology.
615  0$aTopology.
615  0$aManifolds (Mathematics).
615  0$aComplex manifolds.
615  0$aQuantum field theory.
615  0$aString theory.
615 14$aAlgebraic Geometry.
615 24$aGeometry.
615 24$aAlgebraic Topology.
615 24$aTopology.
615 24$aManifolds and Cell Complexes (incl. Diff.Topology).
615 24$aQuantum Field Theories, String Theory.
676   $a514.23
686   $a55N33$a57P10$a14J17$a81T30$a55P30$a55S36$a14J32$a14J33$2msc
700   $aBanagl$b Markus$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478943
906   $aBOOK
912   $a996466497003316
996   $aIntersection spaces, spatial homology truncation, and string theory$9261785
997   $aUNISA