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Convexity of Momentum Maps: A Topological Analysis
Convexity of Momentum Maps Topological Analysis
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2010/11/15
We extend the Local-to-Global-Principle used in the proof of convexity theorems for momentum maps to not necessarily closed maps $f\colon X\ra Y$ whose target space $Y$ carries a convexity structure ...
On evaluation of the topological degree of the Poincare map in some singular situations
the topological the Poincare map singular situations
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2010/11/11
In the paper we develop a method to evaluate the topological degree of the Poincare map of the mathematical model of narrow lagoon subject to a T-periodic forcing. Using the method developved we arriv...
Measuring Shape with Topology
Measuring Shape Topology math
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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...
Topological properties of regular generalized function algebras
Topological properties regular generalized function algebras
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2010/11/15
We investigate density of various subalgebras of regular generalized functions in the special Colombeau algebra of generalized functions
Lefschetz trace formula for open adic spaces
Lefschetz trace formula adic spaces
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2010/11/12
In this article, we discuss the Lefschetz trace formula for an adic space which is separated smooth of finite type but not necessarily proper over an algebraically closed non-archimedean field. Under...
Higher Whitehead products in toric topology
Higher Whitehead products in toric topology math
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2010/11/15
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...
Invitation to Topological Conformal Field Theories
Topological Conformal Field Theories math
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2010/11/18
Topological conformal field theories are defined using only basic results from the theory of quasiconformal mappings.
A new topological construction of infinite families of toric manifolds implying fan reduction
topological construction toric manifolds
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2010/11/8
An infinite family of toric manifolds is constructed from a given one $M^{2n}$, using only the original characteristic function (or fan) data. This is done in a way which simplifies significantly the...
Topology and subsets - the story of a theorem
Topology subsets - the story of a theorem
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2010/11/11
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...
On the secondary Steenrod algebra
the secondary Steenrod algebra Algebraic Topology
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2010/11/18
We introduce a new model for the secondary Steenrod algebra at the prime 2 which is both smaller and more accessible than the original construction of H.-J. Baues.
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
topological entropy Anosov symplectic diffeomorphisms
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2010/11/17
We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic ...
A topological central point theorem
topological central point theorem
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2010/11/15
In this paper a generalized topological central point theorem is proved for maps of a simplex to finite-dimensional metric spaces. Similar generalizations of the Tverberg theorem are considered.
A Geometric Construction of Cyclic Cocycles on Twisted Convolution Algebras
Geometric Construction Cyclic Cocycles Twisted Convolution Algebras
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2010/12/14
The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned disci...
Non-archimedean tame topology and stably dominated types
Non-archimedean tame topology stably dominated types
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2010/11/26
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...
Sur le topos infinitésimal p-adique d'un schéma lisse I
Sur le topos infinitésimal p-adique d'un schéma lisse I
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2010/12/7
Afin de disposer des opérations cohomologiques aussi souples que possible pour la cohomologie de de Rham p-adique à coefficients, le but principal de ce mémoire est de résoudre intrinsèquement du poin...