Results 21 to 30 of about 511,827 (110)
arXiv, 2020 Lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
arxiv
Instantons: topological aspects [PDF]
Enclyclopedia of Mathematical Physics vol. 2 (2006) 44-50, 2005 Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv
From Monge to Higgs: a survey of distance computations in noncommutative geometry
, 2016 This is a review of explicit computations of Connes distance in noncommutative geometry, covering finite dimensional spectral triples, almost-commutative geometries, and spectral triples on the algebra of compact operators.
Martinetti, Pierre
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Enumerative geometry and geometric representation theory [PDF]
arXiv, 2017 This is an introduction to: (1) the enumerative geometry of rational curves in equivariant symplectic resolutions, and (2) its relation to the structures of geometric representation theory. Written for the 2015 Algebraic Geometry Summer Institute.
arxiv
Branched holomorphic Cartan geometry on Sasakian manifolds [PDF]
arXiv, 2018 We extend the notion of (branched) holomorphic Cartan geometry on a complex manifold to the context of Sasakian manifolds. Branched holomorphic Cartan geometries on Sasakian Calabi-Yau manifolds are investigated.
arxiv
Wick rotation for D-modules [PDF]
, 2017 We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.
arxiv +1 more source
General Geometry and Geometry of Electromagnetism [PDF]
arXiv, 2002 It is shown that Electromagnetism creates geometry different from Riemannian geometry. General geometry including Riemannian geometry as a special case is constructed. It is proven that the most simplest special case of General Geometry is geometry underlying Electromagnetism.
arxiv
An asymptotic dimension for metric spaces, and the 0-th Novikov-Shubin invariant
, 2001 A nonnegative number d_infinity, called asymptotic dimension, is associated with any metric space. Such number detects the asymptotic properties of the space (being zero on bounded metric spaces), fulfills the properties of a dimension, and is invariant ...
Guido, Daniele, Isola, Tommaso
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Abel Prize 2009 as a necessitation to discussion on geometry, or physicist versus geometers [PDF]
arXiv, 2009 Contemporary geometers do not acknowledge nonaxomatizable geometries. This fact means that our knowledge of geometry is poor. A perfect knowledge of geometry is important for "consumers of geometry" (physicists dealing with geometry of microcosm), because poor knowledge of geometry forces physicists to refuse from the orthodox geometrical paradigm and ...
arxiv
Relations Among Universal Equations For Gromov-Witten Invariants [PDF]
arXiv, 2003 In this paper, we study relations among known universal equations for Gromov-Witten invariants at genus 1 and 2.
arxiv