Results 31 to 40 of about 511,827 (110)

A (2+1)-dimensional integrable spin model(the M-XXII equation) and Differential geometry of curves/surfaces [PDF]

arXiv, 1998
Using the differential geometry of curves and surfaces the Lakshmanan equivalent counterpart of the M-XXII equation is found ... .
arxiv  

Differential geometry of fibre bundles over foliated manifolds [PDF]

arXiv, 2001
Any leafwise connection on a fibre bundle over a foliated manifold is proved to come from a connection on this fibre bundle.
arxiv  

A Note on Twistor Integrals [PDF]

arXiv, 2013
An exposition of the basic geometry of twistor integrals, intended for mathematicians.
arxiv  

Hilbert schemes and multiple q-zeta values [PDF]

arXiv, 2014
We present several conjectures on multiple q-zeta values and on the role they play in certain problems of enumerative geometry.
arxiv  

Frobenius Manifolds, Spectral Curves, and Integrable Hierarchies [PDF]

arXiv, 2015
We formulate some conjectures that relates semisimple Frobenius manifolds, their spectral curves and integrable hierarchies.
arxiv  

Symplectic Geometry, Poisson Geometry, and Beyond [PDF]

arXiv
Symplectic and Poisson geometry emerged as a tool to understand the mathematical structure behind classical mechanics. However, due to its huge development over the past century, it has become an independent field of research in differential geometry. In this lecture notes, we will introduce the essential objects and techniques in symplectic geometry ...
arxiv  

Stringy Geometry and Topology of Orbifolds [PDF]

arXiv, 2000
This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.
arxiv  

The geometry of mirror symmetry [PDF]

Encylopedia of mathematical physics (Eds: Francoise J, Naber GL, Tsou ST), Oxford, Elsevier, 2006, pages 439 -- 448., 2005
We give a brief survey of some of the geometry of mirror symmetry, written in 2004 for the "Encyclopaedia of Mathematical Physics". Probably a little bit out of date now in a few places, but hey.
arxiv  

Quantum Field Theory, Quantum Geometry, and Quantum Algebras [PDF]

arXiv, 2017
We demonstrate how one can see quantization of geometry, and quantum algebraic structure in supersymmetric gauge theory.
arxiv  

Variations on a Theme of Makowski

We distinguish the axiomatic study of proofs in geometry from study about geometry from general axioms for mathematics. We briefly report on an abuse of that distinction and its unfortunate effect on US high school education.
Baldwin, John T.
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