Steenrod operations in subanalytic homology
Robert M. Hardt, Clint G. McCrory (1979)
Compositio Mathematica
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Robert M. Hardt, Clint G. McCrory (1979)
Compositio Mathematica
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Fouad Elzein, András Némethi (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be a normal crossing divisor in the smooth complex projective algebraic variety and let be a tubular neighbourhood of in . Using geometrical properties of different intersections of the irreducible components of , and of the embedding , we provide the “normal forms” of a set of geometrical cycles which generate , where is one of the following pairs , , , and . The construction is compatible with the weights in of Deligne’s mixed Hodge structure. The main technical...
Alissa S. Crans, Józef H. Przytycki, Krzysztof K. Putyra (2014)
Fundamenta Mathematicae
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The one-term distributive homology was introduced in [Prz] as an atomic replacement of rack and quandle homology, which was first introduced and developed by Fenn-Rourke-Sanderson [FRS] and Carter-Kamada-Saito [CKS]. This homology was initially suspected to be torsion-free [Prz], but we show in this paper that the one-term homology of a finite spindle may have torsion. We carefully analyze spindles of block decomposition of type (n,1) and introduce various techniques to compute their...
Robert E. Reed
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CONTENTSPreface...................................................................................................................................... 5I. Introduction............................................................................................................................ 7II. Simple chains 2.1. Simplexes............................................................................................................ 12 2.2. Chains..............................................................................................................................
W. Mayer (1948)
Fundamenta Mathematicae
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Józef H. Przytycki, Radmila Sazdanović (2014)
Fundamenta Mathematicae
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The goal of this paper is to address A. Shumakovitch's conjecture about the existence of ℤ₂-torsion in Khovanov link homology. We analyze torsion in Khovanov homology of semi-adequate links via chromatic cohomology for graphs, which provides a link between link homology and the well-developed theory of Hochschild homology. In particular, we obtain explicit formulae for torsion and prove that Khovanov homology of semi-adequate links contains ℤ₂-torsion if the corresponding Tait-type graph...
S. Buoncristiano, C. De Concini (1977)
Compositio Mathematica
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Piotr Pragacz, Jan Ratajski (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Hajime Sato (1972)
Annales de l'institut Fourier
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We aim at constructing a PL-manifold which is cellularly equivalent to a given homology manifold . The main theorem says that there is a unique obstruction element in , where is the group of 3-dimensional PL-homology spheres modulo those which are the boundary of an acyclic PL-manifold. If the obstruction is zero and is compact, we obtain a PL-manifold which is simple homotopy equivalent to .