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19972005
most citedNon-formal compact manifolds with small Betti numbers

9 citations · 9 across the 9 of their papers we have counts for

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math.DG2004

The Geography of Non-formal Manifolds

Marisa Fernandez, Vicente Munoz

We show that there exist non-formal compact oriented manifolds of dimension and with first Betti number if and only if and , or

math.DG2003

On non-formal simply connected manifolds

M. Fernández, V. Muñoz

We construct examples of non-formal simply connected and compact oriented manifolds of any dimension bigger or equal to 7.

math.DG2001

Semipositive bundles and Brill-Noether theory

Vicente Munoz, Francisco Presas

We prove a Lefschetz hyperplane theorem for the determinantal loci of a morphism between two holomorphic vector bundles and over a complex manifold under the condition that…

math.DG2000

Almost holomorphic embeddings in Grassmannians with applications to singular simplectic submanifolds

Vicente Muñoz, Fran Presas, Ignacio Sols

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 a…

math.DG1999

Donaldson invariants of non-simple type 4-manifolds

Vicente Muñoz

We find the shape of the Donaldson invariants of a 4-manifold with b_1=0 and b^+>1, which may be not of simple type. The invariants appear as the q^0 coefficient of a expression gi…

math.DG1999

Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures

Vicente Muñoz, Bai-Ling Wang

We determine the Seiberg-Witten-Floer homology groups of the three-manifold which is the product of a surface of genus times the circle, together with its ring structure…