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The study of Hamiltonian dynamical systems plays a fundamental role in many different contexts, both in pure and applied mathematics. Indeed, most of the physical laws ruling our everyday lives --the ...
This is the seventh annual Tech Topology Conference. It brings together established and beginning researchers from around the country for a weekend of mathematics in Atlanta. Check back soon for more ...
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.
We show that, in a model of modi ed gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and in ation, in the sense that the shape of the possible sl...
We introduce a new topological property called (∗) and the corre-sponding class of topological spaces, which includes spaces with G-diagonals and Gruenhage spaces.
We prove a Theorem on homotheties between two given tangent sphere bundles SrM of a Riemannian manifold M, g, assuming different variable radius functions r and weighted Sasaki metrics induced just by...
In this work we consider topology optimization of systems, which are governed by the external Bernoulli free boundary problem. We utilize the so-called pseudo-solid approach to solve the governing f...
Measuring Shape with Topology     Measuring Shape  Topology  math       2010/11/15
We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives a...
In this paper we study the relationship between the moment-angle complex Z_k and the Davis-Januskiewicz space DJ(K) for a class of complexes K named missing-face complexes. If K has n vertices we con...
In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) to...
Let V be a quasi-projective algebraic variety over a non-archimedean valued field. We introduce topological methods into the model theory of valued fields, define an analogue “V of the Berkovich analy...
Suppose X is a non-singular complex surface defined over \R, which is a complete intersection constructed by the method of a small perturbation, and Y=X/\conj is its quotient by the complex conjugatio...
We present a new, more elementary proof of the Freedman-Teichner result that the geometric classification techniques (surgery, s-cobordism, and pseudoisotopy) hold for topological 4-manifolds with gr...
A non associative, noncommutative algebra is defined that may be interpreted as a set of vector modules over a noncommutative surface of rotation. Two of these vector modules are identified with the ...

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