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Operads, homotopy algebra and iterated integrals for double loop spaces
Operads homotopy algebra iterated integrals double loop spaces
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2015/3/25
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended ...
Rotation invariants of two dimensional curves based on iterated integrals
Rotation invariants two dimensional curves based iterated integrals
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2013/6/17
We introduce a novel class of rotation invariants of two dimensional curves based on iterated integrals. The invariants we present are in some sense complete and we describe an algorithm to calculate ...
The iterated integrals of ln(1 + x^2)
Iterated integrals harmonic numbers recurrences valuations
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2011/2/21
For a polynomial P, we consider the sequence of iterated integrals of ln P(x). This sequence is expressed in terms of the zeros of P(x). In the special case of ln(1 + x2), arithmetic properties of cer...
A conjecture on Iterated Integrals and application to higher order invariants
Iterated Integrals order invariants
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2010/11/19
We formulate the conjecture that the restriction morphism from free closed iterated integrals to closed iterated integrals on loops is onto. We show that, given the conjecture holds, the module of hig...