Topological phases of matter have captured our imagination over the past few years, with tantalizing properties such as robust edge modes and exotic non-Abelian excitations, and potential applications ranging from semiconductor spintronics to topological quantum computation. Despite recent advancements in the field, our ability to control topological transitions remains limited, and usually req...

Dynamic Topological Logic (DT L) is a combination of S4, under its topological interpretation, and the temporal logic LT L interpreted over the natural numbers. DT L is used to reason about properties of dynamical systems based on topological spaces. Semantics are given by dynamic topological models, which are tuples 〈X, T , f, V 〉, where 〈X, T 〉 is a topological space, f a function on X and V ...

Dynamic Topological Logic (DT L) is a combination of S4, under its topological interpretation, and the temporal logic LT L interpreted over the natural numbers. DT L is used to reason about properties of dynamical systems based on topological spaces. Semantics are given by dynamic topological models, which are tuples 〈X, T , f, V 〉, where 〈X, T 〉 is a topological space, f a function on X and V ...

The Borel Conjecture predicts that closed aspherical manifolds are topological rigid. We want to investigate when a non-aspherical oriented connected closed manifold M is topological rigid in the following sense. If f : N → M is an orientation preserving homotopy equivalence with a closed oriented manifold as target, then there is an orientation preserving homeomorphism h : N → M such that h an...

Processing non-manifold topologies (abbreviated as NMT) plays a primary role in current development of solid modeling applications. Euler operators are a powerful tool for creation of valid boundary representations of solids. By contrast with the manifold domain, where topological operators are well understood and implemented, there is a lack of elaboration of their non-manifold counterparts. I...

We construct numerical solutions for non-topological solitons in threedimensional U(1)-gauged N = 2 supergravity. We find the region of the solutions showing with the BTZ mass, the angular momentum and the magnetic flux and discuss the relation among the physical parameters for various values of a cosmological constant. PACS number(s): 04.40.Dg Typeset using REVTEX e-mail: [email protected]...

The quantized magnetic flux Φ = −4πN(sign κ), N = 0,±1, . . . of nontopological vortices in the non-relativistic Chern-Simons theory is related to the topological degree of the S → S mapping defined by lifting the problem to the Riemann spheres. Regular solutions with finite degree only arise for rational functions, whose topological degree, N , is the commun number of their zeros and poles on ...

In the last few years, we have realized the existence of a new class of topological excitations, which are rather distinct from the platonic world of monopoles, monopole-instantons and instantons. All of the latter arise as solutions of the Prasad-Sommerfield type first order differential (self-duality) equations and have been extensively discussed in the context of confinement and chiral symme...