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Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]

open access: hybridCommun Math Phys, 2021
Abstract Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the location of the singularities and their Stokes constants) in the case of a ...
Garoufalidis S   +3 more
europepmc   +7 more sources

Curvature properties of the Chern connection of twistor spaces [PDF]

open access: greenRocky Mountain Journal of Mathematics, 2005
14 pages, to appear in Rocky Mountain J ...
Johann Davidov   +2 more
semanticscholar   +7 more sources

Connection between the winding number and the Chern number [PDF]

open access: greenChinese Journal of Physics, 2021
Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number of edge states in a chain of topological insulators with boundaries. By properly choosing the unit cells, we carry out numerical calculation to show explicitly in the extended
Han‐Ting Chen   +2 more
semanticscholar   +6 more sources

L-infinity algebra connections and applications to String- and Chern-Simons n-transport [PDF]

open access: green, 2008
We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons
A. Asada   +41 more
core   +6 more sources

Connections on Lie groupoids and Chern–Weil theory [PDF]

open access: greenReviews in Mathematical Physics, 2023
Let [Formula: see text] be a Lie groupoid equipped with a connection, given by a smooth distribution [Formula: see text] transversal to the fibers of the source map. Under the assumption that the distribution [Formula: see text] is integrable, we define a version of de Rham cohomology for the pair [Formula: see text], and we study connections on ...
Indranil Biswas   +3 more
openalex   +4 more sources

Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]

open access: yesNuclear Physics B, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal   +2 more
doaj   +6 more sources

Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]

open access: greenCommunications in Mathematical Physics, 2001
30 pages ...
Ludwik Dąbrowski   +2 more
openalex   +6 more sources

On Hermitian manifolds whose Chern connection is Ambrose-Singer

open access: greenTransactions of the American Mathematical Society, 2022
We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Lei Ni, Fangyang Zheng
openalex   +4 more sources

String connections and Chern-Simons theory [PDF]

open access: bronzeTransactions of the American Mathematical Society, 2013
55 pages; v2: new section with a better treatment of the relation to string connections of Stolz-Teichner, minor changes otherwise; v3: some newest developments referenced, minor changes; v4 comes with typos corrected and is the final and published ...
Konrad Waldorf
openalex   +3 more sources

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