A Val292 substitution combined with an alanine duplication (ADUP) in the Ω loop of ADC β-lactamase confers reduced susceptibility to advanced β-lactam agents, including cefiderocol. [PDF]
mBioKawai A +9 more
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Probing Solution Dynamics of Tissue Factor Using Molecular Dynamics Simulations Guided by NMR Chemical Shifts. [PDF]
J Phys Chem BLihan M +4 more
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Computation of Frobenius algebra on the homology of free loop space of a manifold.
, 2006 Jean-François Le Borgne
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Deciphering the Structural Basis of Allosteric Inhibition of Mutant Epidermal Growth Factor Receptor and Identification of Novel Inhibitors. [PDF]
Comput Struct Biotechnol JPal S, Mohanty D.
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The two dragons of cognition: recursive condensation for predictive processing. [PDF]
Front Comput NeurosciLi X.
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On the free loop spaces of a toric space
Boletin De La Sociedad Matematica Mexicana, 2016A moment-angle complex (a special case of a polyhedral product) is a space parametrized by a simplicial complex and equipped with a torus action. The main example is the moment-angle complex \(Z_K =(D^2, S^1)^K\) [\textit{V. M. Buchstaber} and \textit{T. E. Panov}, Toric topology.
A Bahri, M Bendersky, F R Cohen
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Homotopy orbits of free loop spaces [PDF]
Fundamenta Mathematicae, 1999 Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors Ωλ(R) and ℓ(R) together with algebra homomorphisms e:Ωλ(R)→H∗(ΛX) and ψ:ℓ(R)→H∗(ES1×S1ΛX). When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.
Bökstedt, Marcel, Ottosen, Iver
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Equivariant evaluation on free loop spaces
Mathematische Zeitschrift, 2002 For each positive integer \(k\), let us consider the evaluation map \(\Lambda X \to X^k\) which sends a loop to its values at the \(k\)-th roots of unity \(\in S^1=\{\alpha\in \mathbb C:|\alpha |=1\}\), where \(\Lambda X\) denotes the free loop space on \(X\). Since this map is equivariant with respect to the action of the cyclic group \(C_k\) of \(k\)
Ottosen, Iver Mølgaard
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The Exponential Map on the Free Loop Space is Fredholm
Geometric and Functional Analysis, 1997In the main result of the paper, sufficient conditions for the exponential map of an infinite-dimensional Riemannian (Hilbert) manifold to be a nonlinear Fredholm map of index zero are given. This result can be applied to the free loop space of a finite-dimensional manifold.
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