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The presentation of the quantum cohomology of the moduli space of stable vector bundles of rank two and odd degree with xed determinant over a Riemann surface of genus g > 2 is obtained. The argument avoids the use of gauge theory, providing an[...]texto impreso
Baro González, Elías ; Berarducci, Alessandro ; Otero, Margarita | London Mathematical Society | 2019-10-01Let G be a group definable in an o-minimal structure M. We prove that the union of the Cartan subgroups of G is a dense subset of G. When M is an expansion of a real closed field we give a characterization of Cartan subgroups of G via their Lie [...]texto impreso
A structure theorem is given for n-dimensional smooth subvarieties of the Grassmannian G(1, N); with N > = n + 3, that can be isomorphically projected to G(1, n + 1). A complete classification in the cases N = 2n + 1 and N = 2n follows, as a cor[...]texto impreso
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García del Amo Jiménez, Alejandro José ; Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | London Mathematical Society | 2000A linear operator between two Banach spaces X and Y is strictly-singular (or Kato) if it fails to be an isomorphism on any infinite dimensional subspace. A weaker notion for Banach lattices introduced in [8] is the following one: an operator T f[...]texto impreso
Let X be a locally compact metric absolute neighbourhood retract for metric spaces, U?X be an open subset and f :U?X be a continuous map. The aim of the paper is to study the fixed point index of the map that f induces in the y perspace of X. Fo[...]texto impreso
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Duren, Peter ; Gallardo Gutiérrez, Eva A. ; Montes Rodríguez, Alfonso | London Mathematical Society | 2007An analogue of the Paley-Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the standard Bergman space of the[...]texto impreso
Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. ; Weber, Andress | London Mathematical Society | 2012In this paper, we study the set of periods of (chaotic) strongly continuous semigroups. We prove a relationship between eigenvalues on the imaginary axis of the generator of a strongly continuous semigroup and the set of periods of the semigroup[...]texto impreso
A Lefschetz hyperplane theorem for the determinantal loci of a morphism, between two holomorphic vector bundles E and F over a complex manifold is proved, under the condition that E* x F is Griffiths k-positive. This result is applied to find so[...]texto impreso
In this paper we use the Hausdorff metric to prove that two compact metric spaces are homeomorphic if and only if their canonical complements are uniformly homeomorphic. So, we take one of the two steps needed to prove that the difference betwee[...]texto impreso
We obtain explicit lower and upper bounds for the norm of the Riemann-Liouville operator V-s on L-p[0, 1] which are asymptotically sharp, thus completing previous results by Eveson. Similar statements are shown with respect to the norms parallel[...]texto impreso
In this note, we prove that every definably connected, definably compact abelian definable group G in an o-minimal expansion of a real closed field with dim(G)?4 is definably homeomorphic to a torus of the same dimension. Moreover, in the semial[...]
