The Yamabe invariant of a class of symplectic 4-manifolds

I Şuvaina

doi:10.1016/j.geomphys.2015.01.016

The Yamabe invariant of a class of symplectic 4-manifolds

I Şuvaina

Open Access

https://doi.org/10.1016/j.geomphys.2015.01.016

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Journal: Journal of Geometry and Physics	Publication Date: Feb 4, 2015
Citations: 21	License type: publisher-specific-oa

Affiliation: Vanderbilt University

#Rational Blowdown #Symplectic 4-manifolds + Show 2 more

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Abstract

We compute the Yamabe invariant for a class of symplectic 4-manifolds of general type obtained by taking the rational blowdown of Kahler surfaces. In particular, for any point on the half-Noether line we exhibit a simply connected minimal symplectic manifold for which we compute the Yamabe invariant.

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