Results 101 to 110 of about 1,756 (221)
, 2006 The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals.
Marino, Marcos, Garoufalidis, Stavros
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A note on relative Gelfand–Fuks cohomology of spheres
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley +1 more source
Chern connections and Chern curvature of the tangent bundle of almost complex manifolds
, 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.
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Geometry of product complex Cartan manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Aldea Nicoleta, Munteanu Gheorghe
doaj +1 more source
A note on the Gauss–Bonnet–Chern theorem for general connection
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.
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Geometric structures associated with the Chern connection attached to a SODE
Differential Geometry and its Applications, 2013 To each second-order ordinary differential equation $σ$ on a smooth manifold $M$ a $G$-structure $P^σ$ on $J^1(\mathbb{R},M)$ is associated and the Chern connection $\nabla ^σ$ attached to $σ$ is proved to be reducible to $P^σ$; in fact, $P^σ$ coincides generically with the holonomy bundle of $\nabla ^σ$. The cases of unimodular and orthogonal holonomy
Muñoz Masqué, J. +1 more
openaire +2 more sources
The Chern–Simons state for topological invariants
, 2009 The covariant canonical formalism for the second Chern and Euler topological invariants which depends of a connection valued in the Lie algebra of SO(3,1) is performed.
Escalante, Alberto
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Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories [PDF]
, 2005 We develop the theory of Chern-Simons bundle 2-gerbes and multiplicative bundle gerbes associated to any principal G-bundle with connection and a class in H4(BG, ℤ) for a compact semi-simple Lie group G.
Johnson, S +17 more
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GENERALIZED ABELIAN CHERN-SIMONS THEORIES AND THEIR CONNECTION TO CONFORMAL FIELD THEORIES [PDF]
International Journal of Modern Physics A, 1992 We discuss the generalization of Abelian Chern-Simons theories when θ-angles and magnetic monopoles are included. We map these three dimensional theories into sectors of two-dimensional conformal field theories. The introduction of θ-angles allows us to establish in a consistent fashion a connection between Abelian Chern-Simons and 2-d free scalar ...
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The Chern character of the Verlinde bundle over ℳ¯ g,n [PDF]
, 2021 We prove an explicit formula for the total Chern character of the Verlinde bundle of conformal blocks over ℳ ¯ g , n \overline{\mathcal{M}}_{g,n} in terms of tautological classes.
Pandharipande, Rahul +4 more
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