Results 41 to 50 of about 164,410 (186)

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  

Algebraic Structures and Differential Geometry in 2D String Theory

, 1992
A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in $D=2$ string theory than has been recognized hitherto.
Alvarez-Gaumé, Alvarez-Gaumé, Avan, Barton Zwiebach, Bouwknegt, Das, Di Francesco, Distler, Edward Witten, Frenkel, Getzler, Gross, Gross, Gross, Itoh, Klebanov, Klebanov, Kugo, Kugo, Kutasov, La, Lian, Lian, Moore, Mukherji, Nelson, Polyakov, Saadi, Sen, Sen, Siegel, Sonoda, Stasheff, Wiesbrock, Witten, Witten, Witten, Zwiebach, Zwiebach, Zwiebach, Zwiebach   +40 more
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Rationality in Differential Algebraic Geometry [PDF]

, 2015
Abel Symposium ...
openaire   +2 more sources

Nonassociative algebras: a framework for differential geometry [PDF]

International Journal of Mathematics and Mathematical Sciences, 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication is interpreted as a connection. This provides a framework for differential geometry on a formal manifold with a formal connection. A
openaire   +2 more sources

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  

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

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

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

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