Results 11 to 20 of about 52,638 (215)
String connections and Chern-Simons theory [PDF]
Transactions 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
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Chern connections and Chern curvature of the tangent bundle of almost complex manifolds [PDF]
, 2004 The $\bar{\partial}_{_{J}}$ operator over an almost complex manifold induces canonical connections of type $(0,1)$ over the bundles of $(p,0)$-forms. If the almost complex structure is integrable then the previous connections induce the canonical holomorphic structures of the bundles of $(p,0)$-forms.
Nefton Pali
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Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Commun Math PhysAbstract 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
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Abelian Chern–Simons theory, Stokes’ theorem, and generalized connections [PDF]
Journal of Geometry and Physics, 2011 Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes' theorem, flux operators and generalized connections. A framing of the holonomy loops arises in our construction, and
Hanno Sahlmann, Thomas Thiemann
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Existence and uniqueness of Chern connection in the Klein-Grifone approach [PDF]
Journal of Dynamical Systems and Geometric Theories, 2014 LaTeX file, 14 ...
Nabil L. Youssef, S. G. Elgendi
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A Note on Chern-Weil Classes of Cartan Connections
Minor corrections made in this ...
Luca Accornero +2 more
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Strong connections and the relative Chern-Galois character for corings [PDF]
, 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
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Observation of Berry curvature in non-Hermitian system from far-field radiation [PDF]
Nature CommunicationsBerry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern number.
Xuefan Yin +5 more
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A symmetric Finsler space with Chern connection [PDF]
, 2007 We define a symmetry for a Finsler space with Chern connection and investigate its implementation and properties and find a relation between them and flag curvature.
Dariush Latifi, Asadollah Razavi
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A note on the Gauss–Bonnet–Chern theorem for general connection [PDF]
Journal of Geometry and Physics, 2015 In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
Haoran Zhao
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