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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 13 of 13 for “"characteristic classes"”.
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Nullity and Generalized Characteristic Classes of Differentiable Manifolds
Made available in DSpace on 2014-12-11T18:24:14Z (GMT). No. of bitstreams: 1 7511756.pdf: 4245704 bytes, checksum: 9fd7ca4555abce732c999630cec72ad8 (MD5) Previous issue date: 1974
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On tautological classes of fibre bundles and self-embedding calculus
In this thesis we study the ring of characteristic classes of smooth fibre bundles with a particular focus on tautological classes and the ring that they generate. In the first part we use tools from rational homotopy theory to compute analogues of tautological rings over fibrations, which provides …
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Derived Lie Infinity-Groupoids And Algebroids In Higher Differential Geometry
… tools in studying singular foliations and their characteristic classes. Finally, we prove an $A_{\infty}$ de Rham theorem and higher Riemann-Hilbert correspondence for foliated manifolds.
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The odd chern character and obstruction theory
… uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a natural justification of the fundamental property of the Chern character, i.e. of being a ring homomorphism. The reader is …
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Dual Homotopy Invariants of G-Foliations
… it is shown that many of the secondary characteristic classes of smooth foliations are independently variable, extending the work of Heitsch in this direction. The homotopy groups (pi)(,n)(B(GAMMA)('q)) of the corresponding classifying space are shown to map onto (//R)('v(,n)), where …
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A social representations approach to the comparison of three textual corpora using ALCESTE
… the computer programALCESTE. A comparison of characteristic classes of words from eachcorpus was made in order to identify the stable components in the public’sperception of biotechnology seen in differing communicative contexts. Theresults indicate that at least three distinct representations …
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Cohomologically proper stacks over Zp̳ : algebra, geometry and representation theory
… a reductive group, compute the ring of prismatic characteristic classes at non-torsion primes and give some new examples of the Hodge-to-de Rham degeneration for stacks in characteristic 0. We also study some descent properties of certain Brauer group classes on conical resolutions, a question …
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Modular Temperley-Lieb Theory
… cellular algebras, over positive and mixed characteristic fields. The Temperley-Lieb algebras are planar diagrammatic algebras. They are generated by “(n, n)-diagrams”: planar pair matchings between n points. Multiplication is diagrammatic composition with closed loops resolving to linear …
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Sequences of compact curvature
… elliptic pseudodifferential operators and characteristic classes. Moreover we study the de Rham complex and introduce Sobolev spaces of arbitrary order as well as the concept of operator ideals. In the second chapter, the abstract theory of (Fredholm) quasicomplexes of Hilbert spaces will …
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A classification of toric, folded-symplectic manifolds
… $\psi:W \to \fg^*$ and show that isomorphism classes of $G$-toric, folded-symplectic manifolds whose orbit space data is $\psi:W \to \fg^*$ are in bijection with $H^2(W; \mathbb{Z}_G\times \R)$, where $\mathbb{Z}_G= \ker(\exp:\frak{g} \to G)$ is the integral lattice of $G$. Thus, there is a …
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A Geometric Model for Real and Complex Differential K-theory
<p>We construct a differential-geometric model for real and complex differential K-theory based on a smooth manifold model for the K-theory spectra defined by Behrens using spaces of Clifford module extensions. After writing representative differential forms for the universal Pontryagin and Chern …
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Aspects of index theory
Index theory is the theory of linear maps with finite dimensional nullspaces and cokernels. In particular, the index of such a map is the dimension of its nullspace minus that of its cokernel. We survey some aspects of this theory in this thesis. In particular, the first chapter talks about general …
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Discretization of differential geometry for computational gauge theory
This Dissertation was approved for publication on 2018-04-13 at 12:05.