Results 1 to 10 of about 38,623 (265)
A Poincaré inequality on loop spaces
Journal of Functional Analysis, 2010 We investigate properties of measures in infinite dimensional spaces in terms of Poincaré inequalities. A Poincaré inequality states that the $L^2$ variance of an admissible function is controlled by the homogeneous $H^1$ norm. In the case of Loop spaces, it was observed by L.
Xin Chen, Xue-Mei Li
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On homotopy nilpotency of some suspended spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 A homological criterium from [Golasiński, M., On homotopy nilpotency of loop spaces of Moore spaces, Canad. Math. Bull. (2021), 1–12] is applied to investigate the homotopy nilpotency of some suspended spaces.
Marek Golasinski
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On the infinite loop spaces of algebraic cobordism and the motivic sphere [PDF]
Épijournal de Géométrie Algébrique, 2021 We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$, $\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\mathbb{Z}\times \mathrm{Hilb}_\infty^\mathrm{lci}(\mathbb{A}^\infty ...
Tom Bachmann +5 more
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Loop spaces and connections [PDF]
Journal of Topology, 2012 Revised ...
Ben-Zvi, David, Nadler, David
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Positive geometry, local triangulations, and the dual of the Amplituhedron
Journal of High Energy Physics, 2021 We initiate the systematic study of local positive spaces which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory. We show that all local positive spaces relevant for one-
Enrico Herrmann +3 more
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Loop spaces and representations [PDF]
Duke Mathematical Journal, 2013 A strengthened version of the second half of arXiv:0706.0322, with significant new material. v2: minor revisions.
Ben-Zvi, David, Nadler, David
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Diagrammar of physical and fake particles and spectral optical theorem
Journal of High Energy Physics, 2021 We prove spectral optical identities in quantum field theories of physical particles (defined by the Feynman iϵ prescription) and purely virtual particles (defined by the fakeon prescription).
Damiano Anselmi
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Physical Review D, 2005 We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams.
Bena, Iosif +3 more
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Small-gain theorem for a class of abstract parabolic systems [PDF]
Opuscula Mathematica, 2018 We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup.
Piotr Grabowski
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Modules over algebraic cobordism
Forum of Mathematics, Pi, 2020 We prove that the $\infty $-category of $\mathrm{MGL} $-modules over any scheme is equivalent to the $\infty $-category of motivic spectra with finite syntomic transfers. Using the recognition principle for infinite $\mathbf{P} ^1$-loop spaces, we deduce
Elden Elmanto +4 more
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