Double plumbings of disk bundles over spheres

Eva Horvat

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arXiv · 1403.5904

Double plumbings of disk bundles over spheres

Eva Horvat

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Abstract

We consider double plumbings of two disk bundles over spheres. We calculate the Heegaard-Floer homology with its absolute grading of the boundary of such a plumbing. Given a closed smooth 4-manifold $X$ and a suitable pair of classes in $H_{2}(X)$, we investigate when this pair of classes may be represented by a configuration of surfaces in $X$ whose regular neighbourhood is a double plumbing of disk bundles over spheres. Using similar methods we study single plumbings of two disk bundles over spheres inside $X$.

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Eva Horvat. 2014-03-24. Double plumbings of disk bundles over spheres. https://arxiv.org/abs/1403.5904

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