On rational De Rham cohomology associated with the generalized airy function

Hironobu Kimura

Displaying similar documents to “On rational De Rham cohomology associated with the generalized airy function”

Arithmetic properties of the cohomology of Artin groups

Corrado De Concini, Claudio Procesi, Mario Salvetti, Fabio Stumbo (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Double complexes and vanishing of Novikov cohomology

Hüttemann, Thomas (2011)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: Primary 18G35; Secondary 55U15. We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new...

De Rham cohomology of affinoid spaces

Marius Van der Put (1990)

Compositio Mathematica

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The multiplicative structure of K(n)* (BA).

Maurizio Brunetti (1997)

Publicacions Matemàtiques

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Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA;Z/2) are also discussed.

Reduced power operations in motivic cohomology

Vladimir Voevodsky (2003)

Publications Mathématiques de l'IHÉS

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The cohomology ring of polygon spaces

Jean-Claude Hausmann, Allen Knutson (1998)

Annales de l'institut Fourier

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We compute the integer cohomology rings of the “polygon spaces”introduced in [F. Kirwan, Cohomology rings of moduli spaces of vector bundles over Riemann surfaces, J. Amer. Math. Soc., 5 (1992), 853-906] and [M. Kapovich & J. Millson, the symplectic geometry of polygons in Euclidean space, J. of Diff. Geometry, 44 (1996), 479-513]. This is done by embedding them in certain toric varieties; the restriction map on cohomology is surjective and we calculate its kernel using ideas from...