Topology And Its Applications - BIU-PDF Free Download

Topology-And-Its-Applications---BIU.pdf

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arXiv:math/0303046v1 [math.AT] 4 Mar 2003

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arXiv:math/0303046v1 [math.AT] 4 Mar 2003 Noncommutative localization in topology Andrew Ranicki Introduction The topological applications of the noncommutative Cohn localization con-sidered in this paper deal with spaces (especially manifolds) with in?nite fundamental group, and involve localizations of in?nite group rings and related triangular matrix rings. Algebraists have usually ...

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forms in topology; other applications will follow. In this note we simply point out that their theory may be used to construct the classical geometric invariants of families of connections needed in the 3-dimensional ‹eld theory. Only a broad outline appears here as detailed statements and proofs depend on [HS], which has not yet appeared.

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