Description 
1 online resource (xvi, 217 pages) 
Series 
Lecture notes in mathematics ; 1997 

Lecture notes in mathematics (SpringerVerlag) ; 1997.

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 perversityinternal cupproducts and cohomology operations that are not generally available for intersection cohomology. A mirrorsymmetric interpretation, as well as applications to string theory concerning massless Dbranes arising in type IIB theory during a CalabiYau conifold transition, are discussed 
Bibliography 
Includes bibliographical references (pages 211213) and index 
Notes 
Print version record 
Subject 
Intersection homology theory.


Homotopy theory.


Homotopy theory.


Intersection homology theory.


Homologietheorie


Stringtheorie


PoincaréDualität


Schnitthomologie


Homotopietheorie


Stratifizierter Raum

Form 
Electronic book

LC no. 
2010928327 
ISBN 
9783642125898 

3642125891 

3642125883 

9783642125881 
