Results 21 to 30 of about 12,637 (295)
Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem
Comptes Rendus. Mathématique, 2023 We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares.
Yeliussizov, Damir
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Polystable bundles and representations of their automorphisms
Complex Manifolds, 2022 Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
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Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
European Physical Journal C: Particles and Fields, 2021 We construct the gauge-invariant electric and magnetic charges in Yang–Mills theory coupled to cosmological general relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser (Phys Lett B 116:259–263, 1982).
Emel Altas +2 more
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Truncation formulas for invariant polynomials of matroids and geometric lattices [PDF]
, 2012 This paper considers the truncation of matroids and geometric lattices. It is shown that the truncated matroid of a representable matroid is again representable.
Jurrius, RPMJ Relinde +3 more
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A Bordism Viewpoint of Fiberwise Intersections
International Journal of Mathematics and Mathematical Sciences, 2013 We use the geometric data to define a bordism invariant for the fiberwise intersection theory. Under some certain conditions, this invariant is an obstruction for the theory. Moreover, we prove the converse of fiberwise Lefschetz fixed point theorem.
Gun Sunyeekhan
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Towards relativistic quantum geometry
Physics Letters B, 2015 We obtain a gauge-invariant relativistic quantum geometry by using a Weylian-like manifold with a geometric scalar field which provides a gauge-invariant relativistic quantum theory in which the algebra of the Weylian-like field depends on observers.
Luis Santiago Ridao, Mauricio Bellini
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Variation of non-reductive geometric invariant theory [PDF]
Surveys in Differential Geometry, 2017 The wall-and-chamber structure of the dependence of the reductive GIT quotient on the choice of linearisation is well known. In this article, we first give a brief survey of recent results in non-reductive GIT, which apply when the unipotent radical is 'graded'. We then examine the dependence of these non-reductive quotients on the linearisation and an
Bérczi, G, Jackson, J, Kirwan, F
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Non-standard neutrino oscillations: perspective from unitarity triangles
Journal of High Energy Physics, 2021 We formulate an alternative approach based on unitarity triangles to describe neutrino oscillations in presence of non-standard interactions (NSI). Using perturbation theory, we derive the expression for the oscillation probability in case of NSI and ...
Mehedi Masud +3 more
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Non-reductive geometric invariant theory and hyperbolicity
, 2023 The Green--Griffiths--Lang and Kobayashi hyperbolicity conjectures for generic hypersurfaces of polynomial degree are proved using intersection theory for non-reductive geometric invariant theoretic quotients and recent work of Riedl and Yang.Comment: 38
Kirwan, Frances, Bérczi, Gergely
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Braneworld cosmological perturbations in teleparallel gravity
Physics Letters B, 2015 In this paper we find the fully gauge invariant cosmological perturbation equations in braneworld teleparallel gravity. In this theory, perturbations are the result of small fluctuations in the pentad field. We derive the gauge invariant 'potentials' for
A. Behboodi, K. Nozari
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