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Constructing symplectic forms on 4-manifolds which vanish on circles | David T. Gay
; Robion Kirby
; | Date: |
15 Dec 2003 | Journal: | Geom. Topol. 8(2004) 743-777 | Subject: | Geometric Topology; Differential Geometry; Symplectic Geometry MSC-class: 57R17, 57M50, 32Q60 | math.GT math.DG math.SG | Abstract: | Given a smooth, closed, oriented 4-manifold X and alpha in H_2(X,Z) such that alpha.alpha > 0, a closed 2-form w is constructed, Poincare dual to alpha, which is symplectic on the complement of a finite set of unknotted circles. The number of circles, counted with sign, is given by d = (c_1(s)^2 -3sigma(X) -2chi(X))/4, where s is a certain spin^C structure naturally associated to w. | Source: | arXiv, math.GT/0401186 | Services: | Forum | Review | PDF | Favorites |
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