02938nam 2200601 a 450 991048389640332120200520144314.01-280-39176-697866135696843-642-12589-110.1007/978-3-642-12589-8(CKB)2670000000028900(SSID)ssj0000449722(PQKBManifestationID)11316354(PQKBTitleCode)TC0000449722(PQKBWorkID)10434253(PQKB)10885956(DE-He213)978-3-642-12589-8(MiAaPQ)EBC3065387(PPN)149063113(EXLCZ)99267000000002890020100510d2010 uy 0engurnn|008mamaatxtccrIntersection spaces, spatial homology truncation, and string theory /Markus Banagl1st ed. 2010.New York Springer20101 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 (Springer-Verlag) ;1997.Intersection homology theoryString modelsDuality theory (Mathematics)Intersection homology theory.String models.Duality theory (Mathematics)514.2355N3357P1014J1781T3055P3055S3614J3214J33mscBanagl Markus478943MiAaPQMiAaPQMiAaPQBOOK9910483896403321Intersection spaces, spatial homology truncation, and string theory261785UNINA