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Intersection Spaces, Spatial Homology Truncation, and String Theory / by Markus Banagl.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Banagl, Markus, 1971- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1997.
- Lecture Notes in Mathematics, 0075-8434 ; 1997
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Geometry.
- Algebraic topology.
- Topology.
- Cell aggregation--Mathematics.
- Cell aggregation.
- Algebraic Geometry.
- Algebraic Topology.
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Quantum Field Theories, String Theory.
- Local Subjects:
- Algebraic Geometry.
- Geometry.
- Algebraic Topology.
- Topology.
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Quantum Field Theories, String Theory.
- Physical Description:
- 1 online resource (XVI, 224 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
- System Details:
- text file PDF
- Summary:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783642125898
- Access Restriction:
- Restricted for use by site license.
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