A double complex related with a system of partial differential equations. II
Jan Chrastina (1983)
Archivum Mathematicum
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Jan Chrastina (1983)
Archivum Mathematicum
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Piotr Pragacz, Jan Ratajski (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marian Mrozek, Bogdan Batko (2010)
Annales Polonici Mathematici
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We generalize the notion of cubical homology to the class of locally compact representable sets in order to propose a new convenient method of reducing the complexity of a set while computing its homology.
Steven Garavaglia (1978)
Fundamenta Mathematicae
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Bruns, Winfried, Vetter, Udo (1998)
Beiträge zur Algebra und Geometrie
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Krzysztof K. Putyra (2014)
Banach Center Publications
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We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link diagram as a diagram in a certain 2-category of chronological cobordisms and show that it is 2-commutative: the composition of 2-morphisms along any 3-dimensional subcube is trivial. This allows us to create a chain complex whose homotopy type modulo certain relations is a link invariant. Both the original and...
Gouda, Y.Gh. (1998)
International Journal of Mathematics and Mathematical Sciences
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S. K. Kaul (1970)
Colloquium Mathematicae
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Fred Richman (1976)
Fundamenta Mathematicae
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Daniel Krasner (2009)
Fundamenta Mathematicae
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We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a "local" algorithm for computing Khovanov-Rozansky homology and compare our results with those for the "foam" version of sl₃-homology.
S. Dragotti, G. Magro, L. Parlato (2006)
Bollettino dell'Unione Matematica Italiana
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We give, here, a geometric treatment of intersection homology theory.