Brieskorn spheres bound orbit spaces of torus manifolds
Grigory Solomadin
Abstract
We construct a smooth, equivariantly formal, simply connected torus 8-manifold over a contractible 4-manifold with the boundary a Brieskorn homology 3-sphere having a nontrivial fundamental group. We prove extension to a torus graph for GKM graphs of GKM4 manifolds in complexity 2, and 3 under a finite fundamental group assumption (that is not satisfied, in general).
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