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Almost holomorphic embeddings in Grassmannians with applications to singular symplectic submanifolds
In this paper we use Donaldson's approximately holomorphic techniques to build embeddings of a closed symplectic manifold with symplectic form of integer class in the Grassmannians Gr(r, N). We assure that these embeddings are asymptotically hol[...]texto impreso
We answer in the affirmative the question posed by Babenko, and Taimanov [3] on the existence of nonformal, simply connected, compact symplectic manifolds of dimension 8.texto impreso
Garvín, Antonio ; Lechuga, Luis ; Murillo, Aniceto ; Muñoz, Vicente ; Viruel, Antonio | Polish Academy of Sciences, Institute of Mathematics | 1998In this paper we present an approximation to the de Rham theorem for simplicial sets with any coeffcients based, using simplicial techniques on Poincare's lemma and q-extendability.texto impreso
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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
This paper discusses the construction of asymptotically holomorphic embeddings of a (2n?1) -dimensional contact manifold into the projective space CP 2n+1 such that the image is weakly dominated by the symplectic form. The proof follows the s[...]texto impreso
Let X be an irreducible smooth complex projective curve of genus g > = 4. Fix a line bundle L on X. Let M-Sp (L) be the moduli space of semistable symplectic bundles (E,(sic) : E circle times E -> L) on X, with the symplectic form taking values[...]texto impreso
Let X be an irreducible smooth complex projective curve of genus g ? 4. Let M(r,?) be the moduli space of stable vector bundles E ?? X or rank r and fixed determinant ?.We show that the automorphism group of M(r,?) is generated by automorphisms [...]texto impreso
We extend the notion of basic classes (for the Donaldson invariants) to 4-manifolds with b+ > 1 which are (potentially) not of simple type or satisfy b1 > 0.We also give a structure theorem for the Donaldson invariants of 4-manifolds with b+ >[...]texto impreso
Parabolic Higgs bundles on a Riemann surface are of interest for many reasons, one of them being their importance in the study of representations of the fundamental group of the punctured surface in the complex general linear group. In this pape[...]texto impreso
We show that the Brauer group of the moduli space of stable pairs with ?xed determinant over a curve is zero.texto impreso
Este año se celebra el sesquicentenario del nacimiento de Henri Poincare y el centenario de la Conjetura de Poincare, quiza uno de los problemas mas famosos de todos los tiempos en Geometr?a, y que ha permitido abrir nuevos campos de investigaci[...]texto impreso
We give a classification of minimal algebras generated in degree 1, defined over any field k of characteristic different from 2, up to dimension 6. This recovers the classification of nilpotent Lie algebras over k up to dimension 6. In the case [...]texto impreso
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.texto impreso
Let X be a curve of genus g. A coherent system on X consists of a pair (E; V ), where E is an algebraic vector bundle over X of rank n and degree d and V is a subspace of dimension k of the space of sections of E. The stability of the coherent s[...]
