Florida International University

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19922026

most citedThe Gaia mission

7.1k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2014 · math.DGShow all

4 papers · 2 filters

math.DG2014

Poisson structures on twistor spaces of hyperkaehler and HKT manifolds

Gueo Grantcharov, Lisandra Hernandez-Vazquez

We characterize HKT structure in terms of nondegenrate complex Poisson bivector on hypercomplex manifold. We extend the characterization to the twistor space. After considering the…

math.DG2014★ 17 cited

Existence of HKT metrics on hypercomplex manifolds of real dimension 8

Gueo Grantcharov, Mehdi Lejmi, Misha Verbitsky

A hypercomplex manifold $M$ is a manifold equipped with three complex structures satisfying quaternionic relations. Such a manifold admits a canonical torsion-free connection prese…

math.DG2014★ 11 cited

The SO(3) monopole cobordism and superconformal simple type

Paul M. N. Feehan, Thomas G. Leness

We show that the SO(3) monopole cobordism formula from Feehan and Leness (2002) implies that all smooth, closed, oriented four-manifolds with $b^{1} = 0$ and $b^{+} \geq 3$ and odd with S…

math.DG2014★ 11 cited

Superconformal simple type and Witten's conjecture

Paul M. N. Feehan, Thomas G. Leness

Let $X$ be a smooth, closed, connected, orientable four-manifold with $b^{1} (X) = 0$ and $b^{+} (X) \geq 3$ and odd. We show that if $X$ has Seiberg-Witten simple type, then the SO(3)-mono…