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2.
Ambar Sengupta 《Journal of Geometry and Physics》1998,28(3-4):209-254
All the connected components of the moduli space of flat connections on SU (2) and SO (3) (trivial and non-trivial) bundles over closed oriented surfaces are determined. The symplectic structure and volumes of the non-maximal strata of the moduli space are also determined. 相似文献
3.
In a recent paper [17] we proposed a stochastic algorithm which generates optimal probabilities for the decompression of
an image represented by the fixed point of an IFS system (SAOP). We show here that such an algorithm is in fact a non trivial
example of Generalized Random System with Complete Connections. We also exhibit a generalization which could represent the
solution to the inverse problem for an image with grey levels, if a fixed set of contraction maps is available.
Received: 1 July 2002 相似文献
4.
Yong WANG 《数学年刊B辑(英文版)》2022,43(3):443-458
In this paper, the author computes canonical connections and KobayashiNomizu connections and their curvature on three-dimensional Lorentzian Lie groups with some product structure. He defines algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections. He classifies algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some product structure. 相似文献
5.
We introduce left central and right central functions and left and right leaves in quasi-Poisson geometry, generalizing central (or Casimir) functions and symplectic leaves from Poisson geometry. They lead to a new type of (quasi-)Poisson reduction, which is both simpler and more general than known quasi-Hamiltonian reductions. We study these notions in detail for moduli spaces of flat connections on surfaces, where the quasi-Poisson structure is given by an intersection pairing on homology. 相似文献
6.
Adjoint triples and pairs are basic operators used in several domains, since they increase the flexibility in the framework in which they are considered. This paper introduces multi-adjoint algebras and several properties; also, we will show that an adjoint triple and its “dual” cannot be considered in the same framework.Moreover, a comparison among general algebraic structures used in different frameworks, which reduce the considered mathematical requirements, such as the implicative extended-order algebras, implicative structures, the residuated algebras given by sup-preserving aggregations and the conjunctive algebras given by semi-uninorms and u-norms, is presented. This comparison shows that multi-adjoint algebras generalize these structures in domains which require residuated implications, such as in formal concept analysis, fuzzy rough sets, fuzzy relation equations and fuzzy logic. 相似文献
7.
8.
Frank?ReiflerEmail author Randall?Morris 《International Journal of Theoretical Physics》2005,44(8):1307-1324
Defining a spin connection is necessary for formulating Dirac's bispinor equation in a curved space-time. Hestenes has shown
that a bispinor field is equivalent to an orthonormal tetrad of vector fields together with a complex scalar field. In this
paper, we show that using Hestenes' tetrad for the spin connection in a Riemannian space-time leads to a Yang-Mills formulation
of the Dirac Lagrangian in which the bispinor field Ψ is mapped to a set of SL(2,R)× U(1) gauge potentials FαK and a complex scalar field ρ. This result was previously proved for a Minkowski space-time using Fierz identities. As an
application we derive several different non-Riemannian spin connections found in the literature directly from an arbitrary
linear connection acting on the tensor fields (FαK, ρ). We also derive spin connections for which Dirac's bispinor equation is form invariant. Previous work has not considered
form invariance of the Dirac equation as a criterion for defining a general spin connection. 相似文献
9.
K. Sridhar 《Pramana》2007,69(5):719-725
The international linear collider (ILC) is likely to provide us important insights into physics sector that may supersede
our current paradigm, viz., the standard model. In anticipation of the possibility that the ILC may come up in the middle
of the next decade, several groups are vigourously investigating its potential to explore this new sector of physics. The
Linear Collider Workshop in Bangalore (LCWS06) had several presentations of such studies which looked at supersymmetry, extra
dimensions and other exotic possibilities which the ILC may help us discover or understand. Some papers also looked at the
understanding of cosmology that may emerge from studies at the ILC. This paper summarises these presentations.
相似文献
10.