Results 41 to 50 of about 2,939,402 (89)

Geometry of symplectic log Calabi-Yau pairs [PDF]

arXiv, 2018
We will survey some aspects of the smooth topology, algebraic geometry, symplectic geometry and contact geometry of anti-canonical pairs in complex dimension two.
arxiv  

Geometry without topology as a new conception of geometry [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T‐geometric one are considered. T‐geometry is built only on the basis of information included in the metric (distance between two points). Such geometric concepts as dimension, manifold, metric tensor, curve are fundamental in the Riemannian ...
openaire   +4 more sources

Geometry and topology of manifolds with integral radial curvature bounds [PDF]

arXiv, 2019
In this paper, we systematically investigate the geometry and topology of manifolds with integral radial curvature bounds, and obtain many interesting and important conclusions.
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  

Compact Clifford-Klein forms -- geometry, topology and dynamics [PDF]

arXiv, 2013
We survey results on compact Clifford-Klein forms of homogeneous spaces, with a focus on recent contributions and organized around approaches via topology, geometry and dynamics. In addition, we survey results on moduli spaces of compact forms.
arxiv  

Manifolds obtained by soldering together points, lines, etc [PDF]

, 2008
This text is the extended version of a talk given at the conference Geometry, Topology, QFT and Cosmology hold from May 28 to May 30, 2008 at the Observatoire de Paris.
Hélein, Frédéric
core   +2 more sources

On the Topological Classification of Real Enriques Surfaces. I [PDF]

arXiv, 1993
This note contains preliminary calculation of topological types or real Enriques surfaces. We realize 59 topological types of real Enriques surfaces (Theorem 6) and show that all other topological types belong to the list of 21 topological types (Theorem 7).
arxiv  

Corrigenda to: Introduction to Symplectic Topology [PDF]

arXiv, 1997
This contains a list of (mostly very minor) corrections to the book Introduction to Symplectic Topology, Clarendon Press, Oxford, (1995), together with rewritten versions of two lemmas and some additional comments.
arxiv  

Surface topology and involutive bimodules [PDF]

arXiv, 2013
We remark some basic facts on homological aspects of involutive Lie bialgebras and their involutive bimodules, and present some problems on surface topology related to these facts.
arxiv  

The topology and geometry of neural representations

Proceedings of the National Academy of Sciences
A central question for neuroscience is how to characterize brain representations of perceptual and cognitive content. An ideal characterization should distinguish different functional regions with robustness to noise and idiosyncrasies of individual brains that do not correspond to computational differences.
Baihan Lin, Nikolaus Kriegeskorte
openaire   +3 more sources