Global ETD Search
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 5 of 5 for “"Jet spaces"”.
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Lifts of Frobenius on Arithmetic Jet Spaces of Schemes
… analogues lifts of Frobenius on arithmetic jet spaces J^1(X) of schemes. In this thesis, we first consider the projective space P^m and prove that lifts of Frobenius do not exist on its arithmetic jet spaces J^n(P^m_R) for n, m >= 1. Exhibiting a contrast in the case n=m=1 between the …
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Arithmetic Deformation Classes Associated to Curves via p-Jet Spaces
… for certain curves over p-adic rings its first p-jet space admits the structure of a torsor under a line bundle.
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A Product Structure on Generating Family Cohomology for Legendrian Submanifolds
… in the standard contact manifolds of 1-jet spaces, J1M, is through the Morse theoretic technique of generating families. This dissertation extends the elective but not complete invariant of generating family cohomology by giving it a product μ2. To define the product, moduli spaces of …
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Circle-Valued Generating Family Invariants
… new invariants for Legendrian knots and links in jet spaces of the form J<sup>1</sup>(<em>M</em>, R), where<em> M</em> is a smooth, connected, closed manifold. This dissertation explores the extension of generating families to circle-valued functions, and their use in defining new invariants for …
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Lipschitz and Holder mappings into jet space Carnot groups
"For $k,n\ge 1$, the jet space $J^k(\R^n)$ is the set of $k^{th}$-order Taylor polynomials of functions in $C^k(\R^n)$. Warhurst constructs a Carnot group structure on $J^k(\R^n)$ such that the jets of functions in $C^{k+1}(\R^n)$ are horizontal. Like in all Carnot groups, one can define a …