Výsledky vyhledávání - "Harvey, Reese"

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From Sparks to Grundles--Differential Characters

Autor: Harvey, Reese, Lawson Jr, H. Blaine

We introduce a new homological machine for the study of secondary geometric invariants. The objects, called spark complexes, occur in many areas of mathematics. The theory is applied here to establish the equivalence of a large family of spark comple

Externí odkaz: http://arxiv.org/abs/math/0306193

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Morse Novikov theory and cohomology with forward supports

Autor: Harvey, Reese F., Minervini, G.

We present a new approach to Morse and Novikov theories, based on the deRham Federer theory of currents, using the finite volume flow technique of Harvey and Lawson. In the Morse case, we construct a noncompact analogue of the Morse complex, relating

Externí odkaz: http://arxiv.org/abs/math/0212295

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Stiefel-Whitney Currents

Autor: Harvey, Reese, Zweck, John

Publikováno v: The Journal of Geometric Analysis, Vol.8,Num.5 (1998)

A canonically defined mod 2 linear dependency current is associated to each collection of m sections of a real rank n vector bundle. This current is supported on the linear dependency set of the collection of sections. It is defined whenever the coll

Externí odkaz: http://arxiv.org/abs/dg-ga/9609005

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Akademický článek

The Pontryagin 4-Form

Autor: Dadok, Jiri, Harvey, Reese

Publikováno v: Proceedings of the American Mathematical Society, 1999 Nov 01. 127(11), 3175-3180.

Externí odkaz: https://www.jstor.org/stable/119511

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A theory of characteristic currents associated with a singular connection

Autor: Harvey, Reese, Lawson, H. Blaine Jr.

Publikováno v: Bull. Amer. Math. Soc. (N.S.) 31 (1994) 54-63

This note announces a general construction of characteristic currents for singular connections on a vector bundle. It develops, in particular, a Chern-Weil-Simons theory for smooth bundle maps $\alpha : E \rightarrow F$ which, for smooth connections

Externí odkaz: http://arxiv.org/abs/math/9407216

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