04222nam 22008295 450 99646649700331620200702171244.01-280-39176-697866135696843-642-12589-110.1007/978-3-642-12589-8(CKB)2670000000028900(SSID)ssj0000449722(PQKBManifestationID)11316354(PQKBTitleCode)TC0000449722(PQKBWorkID)10434253(PQKB)10885956(DE-He213)978-3-642-12589-8(MiAaPQ)EBC3065387(PPN)149063113(EXLCZ)99267000000002890020100623d2010 u| 0engurnn|008mamaatxtccrIntersection Spaces, Spatial Homology Truncation, and String Theory[electronic resource] /by Markus Banagl1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XVI, 224 p.) Lecture Notes in Mathematics,0075-8434 ;1997Bibliographic Level Mode of Issuance: Monograph3-642-12588-3 Includes bibliographical references (p. 211-213) and index.Intersection 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.Lecture Notes in Mathematics,0075-8434 ;1997Algebraic geometryGeometryAlgebraic topologyTopologyManifolds (Mathematics)Complex manifoldsQuantum field theoryString theoryAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28000Manifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Algebraic geometry.Geometry.Algebraic topology.Topology.Manifolds (Mathematics).Complex manifolds.Quantum field theory.String theory.Algebraic Geometry.Geometry.Algebraic Topology.Topology.Manifolds and Cell Complexes (incl. Diff.Topology).Quantum Field Theories, String Theory.514.2355N3357P1014J1781T3055P3055S3614J3214J33mscBanagl Markusauthttp://id.loc.gov/vocabulary/relators/aut478943BOOK996466497003316Intersection spaces, spatial homology truncation, and string theory261785UNISA