9 citations · 27 across the 17 of their papers we have counts for
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math.AT2012★ 1 cited
Parallel Transport on Higher Loop Spaces
Ivan Horozov
We construct a parallel transport on higher loop spaces of a manifold in term of a higher dimensional generalization of iterated path integrals. Under mild assumptions, we define a…
math.AG2012
Reciprocity Laws on Algebraic Surfaces via Iterated Integrals
Ivan Horozov, Matt Kerr
This paper presents a proof of reciprocity laws for the Parshin symbol and for two new local symbols, defined here, which we call 4-function local symbols. The reciprocity laws for…
math.DG2012★ 1 cited
Iterated integrals over higher dimensional loops
Anton Deitmar, Ivan Horozov
We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which ext…