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Periodic maps on Poincaré duality spaces
Let T be a homeomorphism of odd prime period p on an oriented integral Poincar6 space X 2". The main theorem of this paper is an analogue in this context of the Atiyah-Singer-Segal G-Signature Theorem. It computes the Witt class of the Zp quadratic form arising from the fixed set F in terms of the orthogonal (or symplectic, if n is odd) representation ...
Alexander, John P., Hamrick, Gary C.
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oai:alma.44SUR_INST:11163750620002346We analyse super non-Abelian T-duality for principal chiral models, symmetricspace sigma models, and semi-symmetric space sigma models for general Liesupergroups.
Penati, Silvia +3 more
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Division, Adjoints, and Dualities of Bilinear Maps [PDF]
The distributive property can be studied through bilinear maps and various morphisms between these maps. The adjoint-morphisms between bilinear maps establish a complete abelian category with projectives and admits a duality. Thus the adjoint category is not a module category but nevertheless it is suitably familiar.
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On Duality between Quantum Maps and Quantum States [PDF]
We investigate the space of quantum operations, as well as the larger space of maps which are positive, but not completely positive. A constructive criterion for decomposability is presented. A certain class of unistochastic operations, determined by unitary matrices of extended dimensionality, is defined and analyzed.
Karol Zyczkowski, Ingemar Bengtsson
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A 'duality' is a formal mapping between the spaces of solutions of two empirically equivalent theories. In recent times, dualities have been found to be pervasive in string theory and quantum field theory.
Read, James +4 more
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Fiber-base duality from the algebraic perspective
Quiver 5D N = 1 $$ \mathcal{N}=1 $$ gauge theories describe the low-energy dynamics on webs of (p, q)-branes in type IIB string theory. S-duality exchanges NS5 and D5 branes, mapping (p, q)-branes to branes of charge (−q, p), and, in this way, induces ...
J.-E. Bourgine
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A New Algorithm for Variational Inequality Problems in CAT(0) Spaces
Numerous strong and weak convergence results on variational inequality problems are known in the literature. We here study a variational inequality problem by using the viscosity approximation method in the nonlinear CAT(0) space, where some novel ...
Amna Kalsoom +3 more
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Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gˆateaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0,∞).
Cholamjiak Prasit +2 more
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Duality for ideals of Lipschitz maps [PDF]
26 ...
Cabrera-Padilla, M. G. +3 more
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Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source

