Results 11 to 20 of about 16,981 (192)

Combinatorics and formal geometry of the master equation [PDF]

, 2012
We give a general treatment of the master equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures.
Andrey Lazarev, E. Getzler, E. Getzler, J. Chuang, Joseph Chuang, S. Merkulov, V. Ginzburg   +6 more
core   +2 more sources

Formality theorem for gerbes

, 2014
We extend the formality theorem of Maxim Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes on smooth and complex manifolds.Comment: arXiv admin note: substantial text overlap with arXiv:0903 ...
Bressler, Paul, Gorokhovsky, Alexander, Nest, Ryszard, Tsygan, Boris   +3 more
core   +1 more source

Models for classifying spaces and derived deformation theory

, 2013
Using the theory of extensions of L-infinity algebras, we construct rational homotopy models for classifying spaces of fibrations, giving answers in terms of classical homological functors, namely the Chevalley-Eilenberg and Harrison cohomology.
Lazarev, Andrey
core   +1 more source

BFV-complex and higher homotopy structures [PDF]

, 2008
We present a connection between the BFV-complex (abbreviation for Batalin-Fradkin-Vilkovisky complex) and the so-called strong homotopy Lie algebroid associated to a coisotropic submanifold of a Poisson manifold. We prove that the latter structure can be
A. Schwarz, A. Weinstein, A. Weinstein, A.S. Cattaneo, A.S. Cattaneo, Florian Schätz, H. Kajiura, H.J. Sussmann, I.A. Batalin, I.A. Batalin, J. Stasheff, J. Stasheff, M. Gotay, P. Stefan, S.A. Merkulov, T. Lada, Th. Voronov, Y.G. Oh   +17 more
core   +3 more sources

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

Advanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang, Max Gießübel, Pankaj Dharpure, Andrea Albert, Vira Niestierkina, Paul Mulvaney, Mukundan Thelakkat, Jürgen Köhler   +7 more
wiley   +1 more source

$L_infty$ rational homotopy of mapping spaces

, 2012
In this paper we describe explicit $L_\infty$ algebras modeling the rational homotopy type of any component of the spaces $\map(X,Y)$ and $\map^*(X,Y)$ of free and pointed maps between the finite nilpotent CW-complex $X$ and the finite type nilpotent CW ...
Buijs, Urtzi, Félix, Yves, Murillo, Aniceto   +2 more
core   +1 more source

Stress‐Normalized Sensitivity as a Comparative Benchmark for Intrinsically Piezoresistive Nanocomposite Materials in Wearable Electronics

Advanced Materials Technologies, EarlyView.
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Minimal models of quantum homotopy Lie algebras via the BV-formalism

, 2018
Using the BV-formalism of mathematical physics an explicit construction for the minimal model of a quantum L-infinity-algebra is given as a formal super integral.
Cattaneo A. S., Costello K., Etingof P., Kadeishvili T. V., Khudaverdian O. M., Kontsevich M., Kravchenko O., Loday J.-L., Manetti M., Markl M., Qiu J., Roger C.   +11 more
core   +1 more source