Chen's iterated integrals are treated within synthetic di erential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct ...
Abstract. Basic elements of integral calculus over algebras of iterated differential forms Λk, k <...
AbstractIn the context of synthetic differential geometry (SDG), we provide, for any manifold, a hom...
Chen\u27s iterated integrals are treated within synthetic differential geometry. The main result is ...
The usual iterated integral map given by Chen produces an equivalence between the two-sided bar comp...
AbstractWe construct by geometrical means a weight-decomposition of Chen's iterated integrals in the...
AbstractWe develop a class of integrals on a manifold M called exponential iterated integrals, an ex...
We give a rigorous construction of the path integral in N=1/2 supersymmetry as an integral map for d...
This paper arose from our use of Chen’s theory of iterated integrals as a tool in the study of the c...
We use Chen’s iterated integrals to integrate representations up to homotopy. That is, we construct ...
AbstractIn classical differential geometry the integration morphism ʃ:ωp(M) → Sp(M) is a morphism of...
We give a rigorous construction of the path integral in N=1/2 supersymmetry as an integral map for d...
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct ...
Vector fields in infinite-dimensional manifolds play an important role in differential topology-geom...
Values of the polyzeta functions at tuples of positive integers arise as periods relating the ration...
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct ...
Abstract. Basic elements of integral calculus over algebras of iterated differential forms Λk, k <...
AbstractIn the context of synthetic differential geometry (SDG), we provide, for any manifold, a hom...
Chen\u27s iterated integrals are treated within synthetic differential geometry. The main result is ...
The usual iterated integral map given by Chen produces an equivalence between the two-sided bar comp...
AbstractWe construct by geometrical means a weight-decomposition of Chen's iterated integrals in the...
AbstractWe develop a class of integrals on a manifold M called exponential iterated integrals, an ex...
We give a rigorous construction of the path integral in N=1/2 supersymmetry as an integral map for d...
This paper arose from our use of Chen’s theory of iterated integrals as a tool in the study of the c...
We use Chen’s iterated integrals to integrate representations up to homotopy. That is, we construct ...
AbstractIn classical differential geometry the integration morphism ʃ:ωp(M) → Sp(M) is a morphism of...
We give a rigorous construction of the path integral in N=1/2 supersymmetry as an integral map for d...
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct ...
Vector fields in infinite-dimensional manifolds play an important role in differential topology-geom...
Values of the polyzeta functions at tuples of positive integers arise as periods relating the ration...
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct ...
Abstract. Basic elements of integral calculus over algebras of iterated differential forms Λk, k <...
AbstractIn the context of synthetic differential geometry (SDG), we provide, for any manifold, a hom...
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