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145
On exotic modular tensor categories
 Commun. Contemp. Math
"... Abstract. We classify all unitary modular tensor categories (UMTCs) of rank ≤ 4. There are a total of 35 UMTCs of rank ≤ 4 up to ribbon tensor equivalence. Since the distinction between the modular Smatrix S and −S has both topological and physical significance, so in our convention there are a tot ..."
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Cited by 37 (12 self)
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Abstract. We classify all unitary modular tensor categories (UMTCs) of rank ≤ 4. There are a total of 35 UMTCs of rank ≤ 4 up to ribbon tensor equivalence. Since the distinction between the modular Smatrix S and −S has both topological and physical significance, so in our convention there are a
AUTOMORPHISMS WITH EXOTIC ORBIT GROWTH
"... Abstract. The dynamical Mertens ’ theorem describes asymptotics for the growth in the number of closed orbits in a dynamical system. We construct families of ergodic automorphisms of fixed entropy on compact connected groups with a continuum of growth rates on two different growth scales. This shows ..."
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Cited by 4 (3 self)
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. This shows in particular that the space of all ergodic algebraic dynamical systems modulo the equivalence of shared orbitgrowth asymptotics is not countable. In contrast, for the equivalence relation of measurable isomorphism or equal entropy it is not known if the quotient space is countable or uncountable
Dependent types and program equivalence
 In Proceedings of the 37th ACM SIGACTSIGPLAN Symposium on Principles of Programming Languages (POPL). ACM
, 2009
"... The definition of type equivalence is one of the most important design issues for any typed language. In dependentlytyped languages, because terms appear in types, this definition must rely on a definition of term equivalence. In that case, decidability of type checking requires decidability for the ..."
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Cited by 8 (3 self)
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in the proof of the preservation and progress lemmas. This design provides flexibility: we compare valid instantiations of term equivalence which range from betaequivalence, to contextual equivalence, to some exotic equivalences.
On homogeneous connections with exotic holonomy
, 1995
"... In [Br], Bryant gave examples of torsion free connections on fourmanifolds whose holonomy is exotic, i.e. is not contained on Berger’s classical list of irreducible holonomy representations [Ber]. The holonomy in Bryant’s examples is the irreducible fourdimensional representation of Sl(2,R) (Gl(2 ..."
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Cited by 2 (2 self)
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In [Br], Bryant gave examples of torsion free connections on fourmanifolds whose holonomy is exotic, i.e. is not contained on Berger’s classical list of irreducible holonomy representations [Ber]. The holonomy in Bryant’s examples is the irreducible fourdimensional representation of Sl(2,R) (Gl
Cobordism and Exotic Spheres
, 1999
"... Jules Henri Poincaré may rightly be considered the father of modern topology (Leonhard Euler and the Königsberg bridges notwithstanding). It is fitting, therefore, that many of the questions explored in this thesis originated with Poincaré. Poincaré’s famous conjecture – which has driven so much of ..."
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approached the Generalized Poincaré Conjecture by investigating the properties of manifolds equivalent up to cobordism. As we shall see, cobordism theory is properly seen as a generalization
exotics: molecular resonances
"... Abstract Highlights in the search for nonconventional (non qq) meson states are the π 1 (1400) and π 1 (1600) exotic candidates. Should they exist, mounting theoretical arguments suggest that they are tetraquark molecular resonances excitable by meson rescattering. We report a new tetraquark calcul ..."
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conventional mesons; 4) a tetraquark molecular resonance (qqqq involving two intermediate color states that are singlets but not observed mesons). All four scenarios can produce J P C = 1 −+ states but the first two are more exotic since the tetraquark molecule is color equivalent to a conventional mesonmeson
Constraints on Exotic Mixing of Three Neutrinos
, 1999
"... Exotic explanations are considered for atmospheric neutrino observations. Our analysis includes matter effects and the mixing of all three neutrinos under the simplifying assumption of only one relevant mixing scale. Constraints from accelerator, reactor and solar neutrinos are included. We find tha ..."
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Exotic explanations are considered for atmospheric neutrino observations. Our analysis includes matter effects and the mixing of all three neutrinos under the simplifying assumption of only one relevant mixing scale. Constraints from accelerator, reactor and solar neutrinos are included. We find
Abundance of exotic elements in heliumrich subdwarfs
"... The aim of this project was to search for and measure abundances of exotic elements in the atmosphere of nine intermediate heliumrich subdwarf B stars. Measurements were made using high resolution optical spectra of nine intermediate heliumrich subdwarf B stars obtained with Ultraviolet and Visual ..."
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The aim of this project was to search for and measure abundances of exotic elements in the atmosphere of nine intermediate heliumrich subdwarf B stars. Measurements were made using high resolution optical spectra of nine intermediate heliumrich subdwarf B stars obtained with Ultraviolet and Visual
QUASICIRCLE BOUNDARIES AND EXOTIC ALMOSTISOMETRIES
"... Abstract. We consider properly discontinuous, isometric, convex cocompact actions of surface groups Γ on a CAT(1) space X. We show that the limit set of such an action, equipped with the canonical visual metric, is a (weak) quasicircle in the sense of Falconer and Marsh. It follows that the visual ..."
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Cited by 1 (1 self)
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that the visual metrics on such limit sets are classified, up to biLipschitz equivalence, by their Hausdorff dimension. This result applies in particular to boundaries at infinity of the universal cover of a locally CAT(1) surface. We show that any two periodic CAT(1) metrics on H2 can be scaled so
Results 1  10
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145