Results 61 to 70 of about 2,939,402 (89)

Geometry of Maslov cycles [PDF]

arXiv, 2013
We introduce the notion of induced Maslov cycle, which describes and unifies geometrical and topological invariants of many apparently unrelated problems, from Real Algebraic Geometry to sub-Riemannian Geometry.
arxiv  

Methods from Differential Geometry in Polytope Theory [PDF]

arXiv, 2014
The purpose of this thesis is to study classical combinatorial objects, such as polytopes, polytopal complexes, and subspace arrangements, using tools that have been developed in combinatorial topology, especially those tools developed in connection with (discrete) differential geometry, geometric group theory and low-dimensional topology.
arxiv  

Band Topology or Geometry?

, 2011
The study of topology of energy bands in solid has always been interesting and fruitful. Historically, Thouless et al proposed the TKNN number or Chern number of the energy bands to explain the quantization of Hall conductance in the integer quantum Hall effect. Recently, Z2 topological insulators have been intensively studied and similarly topological
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Singularities in Geometry and Topology

, 2018
This thesis consists of two different topics that are not related. The thesis has two different and independent parts that can be read in any order. The purpose of this work is to study two topics in singularity theory: 1. The McKay correspondence for Gorenstein surface singularities. 2.
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Controlled topology in geometry [PDF]

Bulletin of the American Mathematical Society, 1989
Grove, K., Petersen, P., Wu, J. Y.
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Points and topologies in rigid geometry

Mathematische Annalen, 1995
Schneider, P., Put, M. van der
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Geometry and Topology

2005
Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples.
Reid, M., Szendröi, B.
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Geometry and Topology

2011
The representation of geometrical properties of spatial objects as well as of their structural aspects (topology) is crucial for GIS operations, analyses and visualizations. This chapter introduces the most important geometrical and topological concepts, considering the two dimensional as well as the three dimensional case.
Gerhard Gröger, Betsy George
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Geometry and Topology

2021
This chapter presents a collection of theorems in geometry and topology, proved in the twenty-first, which are at the same time great and easy to understand. The chapter is written for undergraduate and graduate students interested in geometry and topology, as well as for mathematicians working in other areas of mathematics, who would like to learn ...
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Geometry and Topology

1989
This volume presents some of the longstanding research problems of Geometry and Topology. It includes new aspects of mathematical research problems that will be of greatest value to all scientists working within these areas.
George Stratopoulos, George M. Rassias
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