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Showing 1 to 4 of 4 for “"Iterated Integrals"”.
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Rational Iterated Integrals and Formal Power Series Connections
Made available in DSpace on 2014-12-14T13:09:34Z (GMT). No. of bitstreams: 1 7726655.pdf: 2020039 bytes, checksum: f8cbed2d1f423d2078db61e9b1de9ac5 (MD5) Previous issue date: 1977
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Quantitative Topology of Loop Space
… are obtained using K.-T. Chen’s theory of iterated integrals to set up differential forms on the loop space. Lower bounds, matching the upper bounds up to a log factor, are given by exhibiting an efficient family of cycles built out of the cells of a cell decomposition the underlying …
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Coleman integration for hyperelliptic curves : algorithms and applications
… I describe algorithms for computing Coleman integrals on hyperelliptic curves and discuss some immediate applications. I give algorithms to compute single and iterated integrals on odd models of hyperelliptic curves, as well as the necessary modifications to iplemieit these algorithms for …
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Cohomology Jumping Loci and the Relative Malcev Completion
Two standard invariants used to study the fundamental group of the complement X of a hyperplane arrangement are the Malcev completion of its fundamental group G and the cohomology groups of X with coefficients in rank one local systems. In this thesis, we develop a tool that unifies these two …