Поступления иностранных книг в библиотеки ННЦ в 2003 г.
Институт математики |  |
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Banagl M. Extending intersection homology type invariants to non-Witt spaces. - Providence, 2002. - IX, 83 p - (Memoirs of the Amer. math. soc., ISBN 0-8218-2988-2; N 760) - Инварианты типа гомологии продолженных пересечений в пространствах более общих, чем пространства Витта.
Оглавление
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- Intersection homology theory provides a way to obtain generalized Poincar? duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.We present an algebraic framework for extending generalized Poincar?} duality and intersection homology to singular spaces $X$ not necessarily Witt. The question arises as to which varieties possess Lagrangian structures. To begin to answer that, we define the model-class of varieties with an ordered resolution and use block bundles to describe the geometry of such spaces. Our main result concerning these is that they have associated preferred Lagrangian structures, and hence self-dual generalized intersection homology sheaves.
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