Results 1 to 10 of about 864 (140)

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

open access: hybridCommun Math Phys
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   +3 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

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
openalex   +5 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

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   +5 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

Symplectic Connections Induced by the Chern Connection

open access: green, 2013
Let $(M, )$ be a symplectic manifold and $F$ be a Finsler structure on $M$. In the present paper we define a lift of the symplectic two-form $ $ on the manifold $TM\backslash 0$, and find the conditions that the Chern connection of the Finsler structure $F$ preserves this lift of $ $.
Ebrahim Esrafilian   +1 more
openalex   +4 more sources

Strong connections and the relative Chern-Galois character for corings

open access: greenInternational Mathematics Research Notices, 2005
The Chern-Galois theory is developed for corings or coalgebras over non-commutative rings. As the first step the notion of an entwined extension as an extension of algebras within a bijective entwining structure over a non-commutative ring is introduced.
Gabriella Böhm, Tomasz Brzeziński
openalex   +6 more sources

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