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Modular invariant theory and the iterated total power operation

A. Ciampella (2000)

Bollettino dell'Unione Matematica Italiana

L'operazione coomologica totale iterata in coomologia ordinaria a coefficienti in Z / p ha una sua espressione a seconda della base fissata nell'algebra di Steenrod A p . Fissato un primo p dispari, vengono qui calcolati i coefficienti dell'operazione totale doppia iterata quando si sceglie in A p la base dei monomi ammissibili. Si fornisce inoltre una dimostrazione alternativa di una versione normalizzata di un teorema di Mùi, ottenuta considerando una particolare successione di funzioni, in analogia al...

Module derivations and cohomological splitting of adjoint bundles

Akira Kono, Katsuhiko Kuribayashi (2003)

Fundamenta Mathematicae

Let G be a finite loop space such that the mod p cohomology of the classifying space BG is a polynomial algebra. We consider when the adjoint bundle associated with a G-bundle over M splits on mod p cohomology as an algebra. In the case p = 2, an obstruction for the adjoint bundle to admit such a splitting is found in the Hochschild homology concerning the mod 2 cohomologies of BG and M via a module derivation. Moreover the derivation tells us that the splitting is not compatible with the Steenrod...

Modulo C homotopy

J. R. Dennett (1982)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Morse index of a cyclic polygon

Gaiane Panina, Alena Zhukova (2011)

Open Mathematics

It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. We show that it depends not only on the combinatorics of a cyclic configuration, but also on its metric properties.

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