Results 1 to 10 of about 2,658,550 (25)

Metric topology on the moduli space [PDF]

Applied General Topology 22(1) 2021, 11-15, 2020
We define the smooth Lipschitz topology on the moduli space and show that each conformal class is dense in the moduli space endowed with Gromov-Hausdorff topology, which offers an answer to the Tuschmann's question.
arxiv   +1 more source

Interval topology in contact geometry [PDF]

Commun. Contemp. Math. 22 (2020), 1950042, 2018
A topology is introduced on spaces of Legendrian submanifolds and groups of contactomorphisms. The definition is motivated by the Alexandrov topology in Lorentz geometry.
arxiv   +1 more source

Round and sleek topological spaces [PDF]

arXiv, 2022
In this paper, we introduce round and sleek topological spaces and study their properties.
arxiv  

Lectures on families of Dirac operators and applications [PDF]

arXiv, 2022
These are the notes for a minicourse taught at the 2022 ICTP summer school `Frontiers in Geometry and Topology'. The goal is to introduce families of Dirac operators and how they can be used to study interactions between geometry and topology. In particular, we discuss the index theorem for families of twisted Dirac operators, and its applications to ...
arxiv  

Topological torus fibrations on Calabi--Yau manifolds via Kato--Nakayama spaces [PDF]

Proceedings of the G\"okova Geometry-Topology Conferences 2018/2019, published in 2021, 2020
This is an expository article on the Gross--Siebert approach to mirror symmetry and its interactions with the Strominger--Yau--Zaslow conjecture from a topological perspective.
arxiv  

Analytic Topology of Groups, Actions, Strings and Varietes [PDF]

arXiv, 2000
This is a paper in Analytic Topology.
arxiv  

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 and topology of complex hyperbolic and CR-manifolds [PDF]

, 1997
We study geometry, topology and deformation spaces of noncompact complex hyperbolic manifolds (geometrically finite, with variable negative curvature), whose properties make them surprisingly different from real hyperbolic manifolds with constant negative curvature.
arxiv   +1 more source

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