The generalised Taubes conjecture for singular loci of circle-action quotients

Let XX be a symplectic 4-manifold admitting a non-trivial fixed point free circle action, with quotient orbifold MM. Let LL be the (possibly empty) singular locus of MM. A link is meridionally fibered if its complement fibers over S1S^1 with boundary fibers having meridional slope.

Generalised Taubes conjecture. The singular locus LL is a meridionally fibered link.

This conjecture connects symplectic structures on 4-manifolds with fixed point free circle actions to the Thurston norm and fibered classes of the quotient orbifold. The supplied text gives a positive answer via the preceding theorem, so the conjecture is solved.

Sources & referencesView supporting material

Primary source

Jonathan Bowden, “Symplectic 4-manifolds with fixed point free circle actions”, arXiv:1206.0458 (2013).

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