... fAnnals of Mathematics Holomorphic disks and topological invariants for closed three-manifolds By Peter Ozsv´ath and Zolt´an Szab´o HOLOMORPHIC DISKS AND THREE-MANIFOLD INVARIANTS1045connecting ... Tα, and u({0}×R) ⊂ Tβ,which are asymptotic to x and y as t →− and +∞, in the following sense.There is a real number T>0 and sectionsξ−∈ Lp1,δ[0, 1] × (−∞, −T ],TxSymg(Σ) and ξ+∈ ... definition of the relative gradings.HOLOMORPHIC DISKS AND THREE-MANIFOLD INVARIANTS1035the isotopies, the curves never cross the basepoint z, and for handleslides, thepair of pants does not contain...