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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 1144 for “"Homology"”.
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Hirzebruch Homology
… a new natural construction of the Hirzebruch homology functor introduced by Matthias Kreck. The Hirzebruch homology allows to define a characteristic class for manifolds which is a sort of integral L-class. This class is related to the Novikov conjecture and to the general problem of …
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Monopole Floer homology, link surgery, and odd Khovanov homology
… 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 homology of Y itself. This allows one …
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MOTIVIC HOCHSCHILD HOMOLOGY
… in SH(S); we define the motivic Hochschild homology of R via the derived tensor product: MHH(R)=R ∧_{R ∧ R^{op}} R. This spectrum can be considered the motivic analogue of topological Hochschild homology. The purpose of the first part of this thesis is to investigate the homotopy structure …
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O-minimal homology
The purpose of this dissertation is to define homology functors for the category of definable sets and definable continuous maps in an o-minimal expansion of an ordered field. Both simplicial and singular homology functors are defined, and they are shown to satisfy the Eilenberg-Steenrod axioms. …
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More homology flows
Flows and cuts have been the topic of much study since Ford and Fulkerson's original paper. The problem we look at is the computation of flows on some generalizations of planar graphs. In particular, the input graph can be embedded on a surface of genus g, and has the source and sink on the same …
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Combinatorial Knot Floer Homology
Knot Floer Homology HFK(K) of a knot K in S^3 was defined by Peter Ozsváth and Zoltan Szabó in 2003. It has since become powerful invariant for the study of properties of knots. The definition of the Knot Floer Homology groups initially involved counting holomorphic disks in symmetric products of …
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Twisting bordered Khovanov homology
… a bordered version of totally twisted Khovanov homology. We first twist Roberts's type D structure by adding a vertical type D structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type D structure is that it is homotopy equivalent to a …
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Bordered Sutured Floer Homology
… between two versions of Heegaard Floer homology for 3-manifolds with boundary--the sutured Floer homology of Juhasz, and the bordered Heegaard Floer homology of Lipshitz, Ozsvath, and Thurston. We define a new invariant called Bordered sutured Floer homology which encompasses these two …
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Localization and Heegaard Floer Homology
… Seidel-Smith localization for Lagrangian Floer cohomology to study invariants of cyclic branched covers of three-manifolds and symmetry groups of knots by constructing localization spectral sequences in Heegaard Floer homology.
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Knot Floer Homology and Categorification
… understanding the connections between knot homology theories arising from categorification and from Heegaard Floer homology, we present a self-contained construction of knot Floer homology in the language of HOMFLY-PT homology. Using the cube of resolutions for knot Floer homology defined by …
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Homology Studies by Molecular Hybridization
Made available in DSpace on 2015-05-12T21:45:00Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 7013356.PDF: 1359281 bytes, checksum: 98c87a4cad1279bb37ffd90b7e069286 (MD5) Previous issue date: 1969
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Aspects of Harrison's Homology Theory
Made available in DSpace on 2014-12-11T18:23:32Z (GMT). No. of bitstreams: 1 7105095.pdf: 2047116 bytes, checksum: 61a5bf2122c34e149af5054142e97019 (MD5) Previous issue date: 1970
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On Borel-Moore Homology Theory
Made available in DSpace on 2014-12-09T22:17:18Z (GMT). No. of bitstreams: 1 6500896.pdf: 1131937 bytes, checksum: 6439867870b0b611055f83f2bc89bedb (MD5) Previous issue date: 1964
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D-branes and K-homology
… close relationship between the topological $K$-homology group of the spacetime manifold $X$ of string theory and D-branes in string theory is examined. An element of the $K$-homology group is given by an equivalence class of $K$-cycles $[M,E,\phi]$, where $M$ is a closed spin$^c$ manifold, $E$ …
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Combinatorial Koszul Homology: computations and Applications
… computations and applications of the Koszul homology and Betti numbers of monomial ideals, the main goals od this thesis are the following: Analyze the Koszul homology of monomial ideals and apply it to describe the structure of monomial ideals. Describe algorithms to perform efficient …
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Incidence homology for the hyperoctahedral group
The incidence structure of the cross-polytope gives rise to certain modular representations for the hyperoctahedral group. In this thesis we introduce and begin the study of these natural representations. In particular we show that they satisfy a branching rule. This branching rule is used to …
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Quantifying wildlife diversity using persistent homology
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2024-12-01
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Three viewpoints on semi-abelian homology
… three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories coincide whenever they are both defined, but having these different approaches available makes it possible to choose the most …
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Applications of 3-manifold Floer Homology
… necessary to understand 3-manifold Floer Homology constructed by Peter Kronheimer and Tomasz Mrowka in [16], along with some properties of this theory, calculations for specific manifolds, and applications to 3-manifold topology.
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