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Smooth concordance of links topologically concordant to the Hopf link
Smooth concordance of links Hopf link
2011/1/20
It was shown by Jim Davis that a 2-component link with Alexander polynomial one is topologically concordant to the Hopf link. In this paper, we show that there is a 2-component link with Alexander pol...
Towards Topological Quantum Computation? - Knotting and Fusing Flux Tubes
topological quantum computation quantum physics condensed matter
2011/3/4
Models for topological quantum computation are based on braiding and fusing anyons (quasi-
particles of fractional statistics) in (2+1)-D. The anyons that can exist in a physical theory are determine...
Generalized Weyl-Wigner-Moyal Formalism and Topological Groups
Generalized Weyl-Wigner-Moyal Formalism Topological Groups
2011/2/28
Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal and Ville.We analyze the relationship between this formalism and geometry of ...
Strictly convex norms and topology
Continuum hypothesis descriptive fragmentable Gruenhage space
2011/2/28
We introduce a new topological property called (∗) and the corre-sponding class of topological spaces, which includes spaces with G-diagonals and Gruenhage spaces.
Extension theorems, Non-vanishing and the existence of good minimal models
Extension theorems Non-vanishing existence of good minimal models
2011/1/17
We prove an extension theorem for effective plt pairs (X, S+B) of non-negative Kodaira dimension (KX +S+B) ≥ 0.The main new ingredient is a refinement of the Ohsawa-Takegoshi
L2 extension theorem in...
Homotheties and topology of tangent sphere bundles
tangent sphere bundle isometry characteristic classes
2011/2/22
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...
Topological term in the non-linear $\sigma$ model of the SO(5) spin chains
Non-linear sigma model topological terms spin chains
2010/12/16
We show that there is a topological (Berry phase) term in the non-linear model description of the SO(5) spin chain. It distinguishes the linear and projective repre-sentations of the SO(5) symmetry ...
Topological toric manifolds
toric manifold fan multi-fan quasitoric manifold torus manifold
2011/1/19
We introduce the notion of a topological toric manifold and a topo-logical fan and show that there is a bijection between omnioriented topological toric manifolds and complete non-singular topological...
Topology optimization in Bernoulli free boundary problems
Topology optimization Bernoulli free boundary problems
2011/1/19
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...
Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
Surface operators 3d Topological Field Theory 2d Rational Conformal Field Theory
2011/3/2
We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory.
Normal maps between discrete groups $N\rightarrow G$ were characterized[FS] as those which induce a compatible topological group structure on the homotopy quotient $EN\times_N G$. Here we deal with to...
Exotic smooth structures on topological fibre bundles
Exotic smooth structures topological fibre bundles
2010/11/24
We use a variation of Hatcher's construction to construct virtually all stable exotic smooth structures on compact smooth manifold bundles whose fibers have sufficiently large odd dimension (at least...
Topologies on groups determined by sequences: Answers to several questions of I.Protasov and E.Zelenyuk
Topologies Protasov and E.Zelenyuk
2010/11/23
We answer several questions of I.Protasov and E.Zelenyuk concerning topologies on groups determined by T-sequences. A special attention is paid to studying the operation of supremum of two group topol...
The Skorohod oblique reflection problem in time-dependent domains
The Skorohod oblique reflection problem time-dependent domains
2010/11/15
The deterministic Skorohod problem plays an important role in the construction and analysis of diffusion processes with reflection. In the form studied here, the multidimensional Skorohod problem was...
On the length of chains of proper subgroups covering a topological group
On the length of chains topological group
2010/11/9
We prove that if an ultrafilter L is not coherent to a Q-point, then each analytic non-sigma-bounded topological group G admits an increasing chain of its proper subgroups such that: ...