The generalised Taubes conjecture for singular loci of circle-action quotients
The generalised Taubes conjecture for singular loci of circle-action quotients
Let be a symplectic 4-manifold admitting a non-trivial fixed point free circle action, with quotient orbifold . Let be the (possibly empty) singular locus of . A link is meridionally fibered if its complement fibers over with boundary fibers having meridional slope.
Generalised Taubes conjecture. The singular locus 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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