Add to ORKGThe pull back of a flat bundle E→X along the evaluation map π:LX→X from the free loop space LX to X comes equipped with a canonical automorphism given by the holonomies of E. This construction naturally generalizes to flat Z-graded connections on X. Our main result is that the restriction of this holonomy automorphism to the based loop space ΩX of X provides an A-infinity quasi-equivalence between the dg category of flat Z-graded connections on X and the dg category of representations of C(ΩX), the dg algebra of singular chains on ΩX
A classic result in the foundations of Yang-Mills theory, due to Barrett [Int. J. Theor. Phys. 30, 1...
We compare two different constructions of higher dimensional parallel transport. On the one hand, th...
International audienceFor smooth families X → S of projective algebraic curves and holomorphic line ...
The pull back of a flat bundle E→X along the evaluation map π:LX→X from the free loop space LX to X ...
peer reviewedGiven a flat connection on a manifold M with values in a filtered L-infinity-algebra g,...
A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path S...
Given a flat connection α on a manifold M with values in a filtered L∞-algebra g, we construct a mor...
AbstractWe show that two flat differential graded algebras whose derived categories are equivalent b...
In this paper, we apply the theory of Chern-Cheeger-Simons to construct canonical invariants associa...
David Nadler We examine the geometry of loop spaces in derived algebraic geometry and extend in seve...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
This thesis consists in two chapters. In the first part we describe an $A_\infty$-quasi-equivalence ...
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the pu...
We describe several equivalent models for the infinity-category of infinity-local systems of chain c...
In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the config...
A classic result in the foundations of Yang-Mills theory, due to Barrett [Int. J. Theor. Phys. 30, 1...
We compare two different constructions of higher dimensional parallel transport. On the one hand, th...
International audienceFor smooth families X → S of projective algebraic curves and holomorphic line ...
The pull back of a flat bundle E→X along the evaluation map π:LX→X from the free loop space LX to X ...
peer reviewedGiven a flat connection on a manifold M with values in a filtered L-infinity-algebra g,...
A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path S...
Given a flat connection α on a manifold M with values in a filtered L∞-algebra g, we construct a mor...
AbstractWe show that two flat differential graded algebras whose derived categories are equivalent b...
In this paper, we apply the theory of Chern-Cheeger-Simons to construct canonical invariants associa...
David Nadler We examine the geometry of loop spaces in derived algebraic geometry and extend in seve...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
This thesis consists in two chapters. In the first part we describe an $A_\infty$-quasi-equivalence ...
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the pu...
We describe several equivalent models for the infinity-category of infinity-local systems of chain c...
In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the config...
A classic result in the foundations of Yang-Mills theory, due to Barrett [Int. J. Theor. Phys. 30, 1...
We compare two different constructions of higher dimensional parallel transport. On the one hand, th...
International audienceFor smooth families X → S of projective algebraic curves and holomorphic line ...