Intersection Spaces, Spatial Homology Truncation, and String Theory (Lecture Notes in Mathematics, Band 1997)

Banagl, Markus:

ISBN 10: 3642125883 / ISBN 13: 9783642125881

Published by Springer, 2010

About this Item

240 Seiten; 9783642125881.2 Gewicht in Gramm: 500.

Seller Inventory # 1104511

Bibliographic Details

• Title: Intersection Spaces, Spatial Homology Truncation, and String Theory (Lecture Notes in Mathematics, Band 1997)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 3642125883
• ISBN 13: 9783642125881
• Binding: paperback
• Condition: Sehr gut
• Weight: 500 grams
• Seller catalogs:
  • Varia

About this title

Synopsis

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, 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 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.

From the Back Cover

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.