A new cohomology on special kinds of complex manifolds
Kostadin Trenčevski (2003)
Kragujevac Journal of Mathematics
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Kostadin Trenčevski (2003)
Kragujevac Journal of Mathematics
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Yaroslav Kopylov (2009)
Annales mathématiques Blaise Pascal
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We extend some results by Goldshtein, Kuzminov, and Shvedov about the -cohomology of warped cylinders to -cohomology for . As an application, we establish some sufficient conditions for the nontriviality of the -torsion of a surface of revolution.
Ballico, E. (2003)
Georgian Mathematical Journal
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Lee, Min Ho (2001)
Beiträge zur Algebra und Geometrie
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Inassaridze, H. (1997)
Georgian Mathematical Journal
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Ulrich Bunke, Matthias Kreck, Thomas Schick (2010)
Annales mathématiques Blaise Pascal
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In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [, , , ]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in []. There the starting point was Quillen’s cobordism description of singular...
Ferreiro Pérez, Roberto, Muñoz Masqué, Jaime (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Butin, Frédéric (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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K. Krzyżewski (2000)
Colloquium Mathematicae
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We give a necessary and sufficient condition for the solvability of a generalized cohomology equation, for an ergodic endomorphism of a probability measure space, in the space of measurable complex functions. This generalizes a result obtained in [7].