Results 71 to 80 of about 166,437 (317)

Thom series of contact singularities [PDF]

, 2010
Thom polynomials measure how global topology forces singularities. The power of Thom polynomials predestine them to be a useful tool not only in differential topology, but also in algebraic geometry (enumerative geometry, moduli spaces) and algebraic ...
Fehér, L. M., Rimányi, R.
core  

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

Advanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia, Nicholas Xuanlai Fang, Mary C. Boyce   +2 more
wiley   +1 more source

A Calabi-Yau-to-curve correspondence for Feynman integrals

Journal of High Energy Physics
It has long been known that the maximal cut of the equal-mass four-loop banana integral is a period of a family of Calabi-Yau threefolds that depends on the kinematic variable z = m 2/p 2.
Hans Jockers, Sören Kotlewski, Pyry Kuusela, Andrew J. McLeod, Sebastian Pögel, Maik Sarve, Xing Wang, Stefan Weinzierl   +7 more
doaj   +1 more source

Constraints on sequential discontinuities from the geometry of on-shell spaces

Journal of High Energy Physics, 2023
We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints follow from a geometric formulation of the Landau equations that was advocated by Pham, in which the ...
Holmfridur S. Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz, Cristian Vergu   +3 more
doaj   +1 more source

On the classical geometry of embedded manifolds in terms of Nambu brackets [PDF]

, 2010
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be formulated in terms of a multi-linear algebraic structure on the space of smooth functions.
Arnlind, Joakim, Hoppe, Jens, Huisken, Gerhard   +2 more
core  

Expanding solitons to the Hermitian curvature flow on complex Lie groups

, 2019
We investigate the algebraic structure of complex Lie groups equipped with left-invariant metrics which are expanding semi-algebraic solitons to the Hermitian curvature flow (HCF).
Pujia, Mattia
core   +1 more source

Enhancing the Photocatalytic Performance of Carbon Nitrides Through Controlled Local Structure Modification

Advanced Functional Materials, EarlyView.
This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova, Hannes Zschiesche, Alexander P. Tyutyunnik, Erik Svensson Grape, Caio Vinícius C. R. da Silva, Walber G. Guimarães Junior, Andre. F. de Moura, Izadora F. Reis, Gabriel Ali A. Diab, José Balena G. Filho, Ivo F. Teixeira, Nadezda V. Tarakina   +11 more
wiley   +1 more source

Self-duality from twisted cohomology

Journal of High Energy Physics
Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an ε-factorised differential equation is persymmetric.
Claude Duhr, Franziska Porkert, Cathrin Semper, Sven F. Stawinski   +3 more
doaj   +1 more source

Scattering forms and the positive geometry of kinematics, color and the worldsheet

Journal of High Energy Physics, 2018
The search for a theory of the S-Matrix over the past five decades has revealed surprising geometric structures underlying scattering amplitudes ranging from the string worldsheet to the amplituhedron, but these are all geometries in auxiliary spaces as ...
Nima Arkani-Hamed, Yuntao Bai, Song He, Gongwang Yan   +3 more
doaj   +1 more source

Algebraic singularities of scattering amplitudes from tropical geometry

Journal of High Energy Physics, 2021
We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory.
James Drummond, Jack Foster, Ömer Gürdoğan, Chrysostomos Kalousios   +3 more
doaj   +1 more source