| Description |
xvi, 217 pages : illustrations ; 24 cm |
| Series |
Lecture notes in mathematics ; 1997 |
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Lecture notes in mathematics (Springer-Verlag) ; 1997
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| Contents |
Contents note continued: 3.2.The Topology of 3-Cycles in 6-Manifolds -- 3.3.The Conifold Transition -- 3.4.Breakdown of the Low Energy Effective Field Theory Near a Singularity -- 3.5.Massless D-Branes -- 3.6.Cohomology and Massless States -- 3.7.The Homology of Intersection Spaces and Massless D-Branes -- 3.8.Mirror Symmetry -- 3.9.An Example |
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Machine generated contents note: 1.Homotopy Theory -- 1.1.The Spatial Homology Truncation Machine -- 1.2.Compression Rigidity Obstruction Theory -- 1.3.Case Studies of Compression Rigid Categories -- 1.4.Truncation of Homotopy Equivalences -- 1.5.Truncation of Inclusions -- 1.6.Iterated Truncation -- 1.7.Localization at Odd Primes -- 1.8.Summary -- 1.9.The Interleaf Category -- 1.10.Continuity Properties of Homology Truncation -- 1.11.Fiberwise Homology Truncation -- 1.12.Remarks on Perverse Links and Basic Sets -- 2.Intersection Spaces -- 2.1.Reflective Algebra -- 2.2.The Intersection Space in the Isolated Singularities Case -- 2.3.Independence of Choices of the Intersection Space Homology -- 2.4.The Homotopy Type of Intersection Spaces for Interleaf Links -- 2.5.The Middle Dimension -- 2.6.Cap Products for Middle Perversities -- 2.7.L-Theory -- 2.8.Intersection Vector Bundles and K-Theory -- 2.9.Beyond Isolated Singularities -- 3.String Theory -- 3.1.Introduction -- |
| Summary |
Annotation. Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. This monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whoseordinary 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 tohomotopy 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 |
| Bibliography |
Includes bibliographical references (pages 211-213) and index |
| Notes |
Also available via the World Wide Web |
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Print version record |
| Subject |
Homotopy theory.
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Intersection homology theory.
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String models.
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| LC no. |
2010928327 |
| ISBN |
3642125883 |
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9783642125881 |
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