$k$-invariants in local coefficient theory

Finite volume calculation of K-theory invariants

Odd index pairings of K1-group elements with Fredholm modules are of relevance in index theory, differential geometry and applications such as to topological insulators. For the concrete setting of operators on a Hilbert space over a lattice, it is shown how to calculate the resulting index as the signature of a suitably constructed finitedimensional matrix, more precisely the finite volume res...

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

K F-invariants in Irreducible

K(1)-Local Homotopy Theory, Iwasawa Theory and Algebraic K-Theory

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Matching by Local Invariants Matching by Local Invariants

This paper presents a matching method which is based on invariants of the luminance function. This makes matching possible in the case of important geometric transformations between images. The method is robust to occlusion, as local properties of the image signal are used. We propose to use di erential measures invariant to rotations in a multi-scale framework. Promising results are obtained w...