作者：Massot, Patrick; Niederkrueger, Klaus; Wendl, Chris
作者单位：Universite Paris Saclay; Universite de Toulouse; Universite Toulouse III - Paul Sabatier; University of London; University College London
摘要：For contact manifolds in dimension three, the notions of weak and strong symplectic fillability and tightness are all known to be inequivalent. We extend these facts to higher dimensions: in particular, we define a natural generalization of weak fillings and prove that it is indeed weaker (at least in dimension five), while also being obstructed by all known manifestations of overtwistedness. We also find the first examples of contact manifolds in all dimensions that are not symplectically fil...
作者：Ovrelid, Nils; Vassiliadou, Sophia
作者单位：University of Oslo; Georgetown University
摘要：Let X be a pure n-dimensional (where na parts per thousand yen2) complex analytic subset in a, (N) with an isolated singularity at 0. In this paper we express the L (2)-(0,q)--cohomology groups for all q with 1a parts per thousand currency signqa parts per thousand currency signn of a sufficiently small deleted neighborhood of the singular point in terms of resolution data. We also obtain identifications of the L (2)-(0,q)--cohomology groups of the smooth points of X, in terms of resolution da...
