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Operads, homotopy algebra and iterated integrals for double loop spaces
Operads homotopy algebra iterated integrals double loop spaces
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 ...
The iterated integrals of ln(1 + x^2)
Iterated integrals harmonic numbers recurrences valuations
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
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...