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Showing 1 to 20 of 36 for “"spectral sequence"”.
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An unstable Adams spectral sequence.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1966
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A Spectral Sequence for Group Presentations
Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7624199.pdf: 2190097 bytes, checksum: fa1cc56585a216658c8d62bba99df7c8 (MD5) Previous issue date: 1976
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The generalized Eilenberg-Moore spectral sequence.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1972
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On the regular slice spectral sequence
In this thesis, we analyze a variant of the slice spectral sequence of [HHR (or SSS) called the regular slice spectral sequence (or RSSS). This latter spectral sequence is defined using only the regular slice cells. We show that the regular slice tower of a spectrum is just the suspension of the …
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Koszul duality and the bar spectral sequence
The bar spectral sequence for algebras over a spectral operad relates Koszul duality phenomena in several contexts. In this thesis, we apply this classical tool to the Koszul dual pair given by the (non-unital) E subscript ∞-operad and the spectral Lie operad over Fₚ. The bar spectral sequence for …
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A van Kampen spectral sequence for higher homotopy groups
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1988.
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Convergence of the homology spectral sequence of a cosimplical space
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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Unstable operations in the Bousfield-Kan spectral sequence for simplicial commutative FF₂-algebras
In this thesis we study the Bousfield-Kan spectral sequence (BKSS) in the Quillen model category sCom of simplicial commutative FF₂ -algebras. We develop a theory of unstable operations for this BKSS and relate these operations with the known unstable operations on the homotopy of the target. We …
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The v₁-periodic part of the Adams spectral sequence at an odd prime/
… chromatic height 1 through the lens of the Adams spectral sequence. We find the "dancers to a discordant system." We calculate a Bockstein spectral sequence which converges to the 1-line of the chromatic spectral sequence for the odd primary Adams E₂-page. Furthermore, we calculate the associated …
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Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications
<p>We construct Power operations in the K"unneth spectral sequence and the $C_2$ equivariant Adams spectral sequence. While the operations in the K"unneth spectral sequence are 0 in $Tor$, they still detect operations in the target of the spectral sequence. We then interpret these computations of …
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Homología efectiva y sucesiones espectrales
Effective homology and spectral sequences are two different techniques of Algebraic Topology which can be used for the computation of homology and homotopy groups. In this work we try to relate both methods, showing that the effective homology method can also be used to produce algorithms computing …
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Monopole Floer homology, link surgery, and odd Khovanov homology
We construct a link surgery spectral sequence for all versions of monopole Floer homology with mod 2 coefficients, generalizing the exact triangle. The spectral sequence begins with the monopole Floer homology of a hypercube of surgeries on a 3-manifold Y, and converges to the monopole Floer …
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Results on spectral sequences for monopole and singular instanton Floer homologies
… [16]. For both cases, we study in particular the spectral sequence that relates the Floer homologies to the Khovanov homologies of links. In our study of singular instanton Floer homology, we introduce a version of Khovanov homology for alternating links with marking data, W, inspired by singular …
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Gröbner bases in rational homotopy theory
The Mayer-Vietoris sequence in cohomology has an obvious Eckmann-Hilton dual that characterizes the homotopy of a pullback, but the Eilenberg-Moore spectral sequence has no dual that characterizes the homotopy of a pushout. The main obstacle is the lack of an Eckmann-Hilton dual to the Kiinneth …
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Computing the Goodwillie-Taylor tower of discrete modules
… of $D_1F$ is described and the associated spectral sequence is shown to be equivalent to the filtration by rows of the reduced Robinson bicomplex of $F$. We consider the rank filtrations of $P_mF$ and $D_mF$ and give explicit descriptions of the entries of the $E^1$ page of the associated …
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The connective K theory of semidihedral groups
… After we apply the eta-Bockstein spectral sequence to ku¤(BG) or the Greenlees spectral sequence to ko¤(BG), we shall get ko¤(BG). In this thesis, we compute all of them algebraically and explicitly to reduce the di±culties of geometric construction for GLR, especially for …
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Andre-Quillen homology for simplicial algebras and ring spectra
… way. We are then further able to construct spectral sequences for Andre-Quillen homology like the spectral sequence for the indecomposables or the Fundamental spectral sequence according to Quillen. The Andre-Quillen homology for algebras constructed as cellular complexes is calculated and …
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Derived mapping spaces as models for localizations by Jennifer E. French.
… an isomorphism between the unstable HF, Adams spectral sequence and the HIF, Goerss-Hopkins spectral sequence. The second part generalizes M. Mandell's model for p-adic homotopy theory to give a model for K(1)-localization. The main theorem gives a model for the K(1)- localization of an …
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Motivic complexes and the K-theory of automorphisms
… of X. Explicitly, it is expected that there is a spectral sequence whose terms are the motivic cohomology groups of X which converges to the algebraic K-groups of X. In fact, this expectation has led to proposed definitions of the motivic cohomology groups.
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MOTIVIC HOCHSCHILD HOMOLOGY
… (0,-1). To do so, we introduce a tri-graded spectral sequence in motivic homotopy groups inspired by an analogue in stable homotopy theory defined by J. Greenlees in a 2016 paper. We will use our spectral sequence to investigate different spectra. As a motivation for the following …
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