Nice Homology Coalgebras
نویسندگان
چکیده
منابع مشابه
Homology of Newtonian Coalgebras
Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in the study of flag vectors of polytopes: R〈a,b〉 and R〈c,d〉. The homology of R〈a,b〉 corresponds to the homology of the boundary of the n-crosspolytope. In contrast, the homology of R〈c,d〉 depends on the characteristic of...
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Generalizing work of Doi and of Idrissi, we define a coHochschild homology theory for chain coalgebras over any commutative ring and prove its naturality with respect to morphisms of chain coalgebras up to strong homotopy. As a consequence we obtain that if the comultiplication of a chain coalgebra C is itself a morphism of chain coalgebras up to strong homotopy, then the coHochschild complex c...
متن کاملCohochschild and Cocyclic Homology of Chain Coalgebras
Generalizing work of Doi and of Farinati and Solotar, we define coHochschild and cocyclic homology theories for chain coalgebras over any commutative ring and prove their naturality with respect to morphisms of chain coalgebras up to strong homotopy. As a consequence we obtain that if the comultiplication of a chain coalgebra is itself a morphism of chain coalgebras up to strong homotopy, then ...
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In this paper we construct a cylindrical module A♮H for an Hcomodule algebra A, where the antipode of the Hopf algebra H is bijective. We show that the cyclic module associated to the diagonal of A♮H is isomorphic with the cyclic module of the crossed product algebra A ⋊H. This enables us to derive a spectral sequence for the cyclic homology of the crossed product algebra. We also construct a c...
متن کاملHeegaard Floer Homology, Double Points and Nice Diagrams
The Heegaard Floer chain complexes are defined by counting embedded curves in Σ×[0, 1]×R. In [Lip06], it was shown that the chain complex ĈF can be elaborated by taking into account curves with double points. In this note, we extend results of Manolescu-Ozsváth-Sarkar and Sarkar-Wang on computing CFK and ĈF to this elaborated complex. The extension has a particularly nice form for grid diagrams...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1970
ISSN: 0002-9947
DOI: 10.2307/1995384