On the classification of complex analytic supermanifolds.
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On the Independence of Exit Time and Exit Position from Small Geodesic Balls for Brownian Motions on Riemannian Manifolds.
Masanori Kôzaki, Yukio Ogura (1988)
Mathematische Zeitschrift
On the uniqueness of the -dimensional supertorus associated to a nontrivial representation of its underlying 2-torus, and having nontrivial odd brackets.
Peniche, R., Sánchez-Valenzuela, O.A., Thompson, F. (2004)
International Journal of Mathematics and Mathematical Sciences
Produced representations of Lie algebras and superfields
Rogier Brussee (1989)
Annales de l'I.H.P. Physique théorique
Quantum homogeneous superspaces and quantum duality principle
Rita Fioresi (2015)
Banach Center Publications
We define the concept of quantum section of a line bundle of a homogeneous superspace and we employ it to define the concept of quantum homogeneous projective superspace. We also suggest a generalization of the QDP to the quantum supersetting.
Second-order conformally equivariant quantization in dimension .
Mellouli, Najla (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Super Wilson Loops and Holonomy on Supermanifolds
Josua Groeger (2014)
Communications in Mathematics
The classical Wilson loop is the gauge-invariant trace of the parallel transport around a closed path with respect to a connection on a vector bundle over a smooth manifold. We build a precise mathematical model of the super Wilson loop, an extension introduced by Mason-Skinner and Caron-Huot, by endowing the objects occurring with auxiliary Graßmann generators coming from -points. A key feature of our model is a supergeometric parallel transport, which allows for a natural notion of holonomy on...
Superconnection currents and complex immersions.
Jean-Michel Bismut (1990)
Inventiones mathematicae
Superconnections: an interpretation of the standard model.
Roepstorff, Gert (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
The graded differential geometry of mixed symmetry tensors
Andrew James Bruce, Eduardo Ibarguengoytia (2019)
Archivum Mathematicum
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
The meaning of time and covariant superderivatives in supermechanics.
Salgado, Gil, Vallejo-Rodríguez, José A. (2009)
Advances in Mathematical Physics
The super complex Frobenius theorem
C. Denson Hill, Santiago R. Simanca (1991)
Annales Polonici Mathematici
We formulate and prove a super analogue of the complex Frobenius theorem of Nirenberg.
The Supetrace on the Grassmann envelope M(m,n;Λ)
N. B. Backhouse, A. G. Fellouris (1996)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
The torsion of spinor connections and related structures.
Klinker, Frank (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Three natural generalizations of Fedosov quantization.
Bering, Klaus (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
What is the role of twistors in supergeometry.
Cortés, Vicente (1997)
General Mathematics
Произведения и векторные расслоения в категории -супермногообразий
К. Барточчи, У. Брудзо, Д.Эрнандес Руйперес (1993)
Sibirskij matematiceskij zurnal
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