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A spectral sequence on lattice homology
Lattice homology Heegaard Floer homology spectral sequence
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2012/6/29
Using the link surgery formula for Heegaard Floer homology we find a spectral sequence from the lattice homology of a plumbing tree to the Heegaard Floer homology of the corresponding 3-manifold. This...
On the Slice Spectral Sequence
the Slice Spectral Sequence Algebraic Topology
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2012/6/7
We introduce a variant of the slice spectral sequence which uses only regular slice cells, and state the precise relationship between the two spectral sequences. We analyze how the slice filtration of...
A spectral sequence for the Hochschild cohomology of a coconnective dga
A spectral sequence the Hochschild cohomology coconnective dga
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2010/11/9
A spectral sequence for the computation of the Hochschild cohomology of a coconnective dga over a field is presented. This spectral sequence has a similar flavour to the spectral sequence constructed ...
A spectral sequence for symplectic homology
spectral sequence symplectic homology
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2010/11/18
We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E1 page is related to Floer homology of the monodromy symplectomorphism and its iterates. We use this ...
AN EMBEDDING FOR THE $E_2$-TERM OF THE ADAMS SPECTRAL SEQUENCE AT ODD PRIMES
Koszul algebras Cohomology of algebras Adams spectral sequence
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2007/12/11
Let $p$ be an odd prime. In this paper we introduce a quadratic linear $\mathbb F_p$-algebra $Q_1$ obtained by suitably changing the generators of $Q$, the homogeneous quadratic algebra of cohomology ...
On the Convergence of Products ...... in the Adams Spectral Sequence
stable homotopy groups of spheres Adams spectral sequence May spectral sequence
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2007/12/10
Let $A$ be the mod $p$ Steenrod algebra and $S$ the sphere spectrum localized at $p$, where $p$ is an odd prime. In 2001 Lin detected a new family in the stable homotopy of spheres which is represente...