منابع مشابه
Algebraic Structure in the Loop Space Homology Bockstein Spectral Sequence
Let X be a finite, n-dimensional, r-connected CW complex. We prove the following theorem: If p ≥ n/r is an odd prime, then the loop space homology Bockstein spectral sequence modulo p is a spectral sequence of universal enveloping algebras over differential graded Lie algebras.
متن کاملAlgebraic Structure of the Loop Space Bockstein Spectral Sequence
Let X be a finite, n-dimensional, r-connected CW complex. We prove the following theorem: If p ≥ n/r is an odd prime, then the loop space homology Bockstein spectral sequence modulo p is a spectral sequence of universal enveloping algebras over differential graded Lie algebras.
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We show that there is a well-defined cap-product structure on the Fintushel-Stern spectral sequence. Hence we obtain the induced cap-product structure on the Z8-graded instanton Floer homology. The cap-product structure provides an essentially new property of the instanton Floer homology, from a topological point of view, which multiplies a finite dimensional cohomology class by an infinite dim...
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It is shown, that each Lifting cocycle Ψ2n+1,Ψ2n+3,Ψ2n+5, . . . ([Sh1], [Sh2]) on the Lie algebra Difn of polynomial differential operators on an n-dimensional complex vector space is the sum of two cocycles, its even and odd part. We study in more details the first case n = 1. It is shown, that any nontrivial linear combination of two 3-cocycles on the Lie algebra Dif1, arising from the 3-cocy...
متن کاملThe Loop-coproduct Spectral Sequences
Let M be a closed oriented d-dimensionnal manifold and let LM be the space of free loops on M . In this paper, we give a geometrical interpretation of the loop-coproduct and we study it’s compatibility with the Serre spectral sequence associated to the fibration ΩM → LM ev(0) → M . Then, we show that the spectral sequence associated to the free loop fibration LN → LX → LM of some Serre fibratio...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2008
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2007.04.002