Non-Isotopic Symplectic Surfaces in Products of Riemann Surfaces
[摘要] Let Σg be a closed Riemann surface of genus g. Generalizing Ivan Smith;;sconstruction, for each g ≥ 1 and h ≥ 0we construct an infinite set of infinitefamilies of homotopic but pairwise non-isotopic symplectic surfaces inside theproduct symplectic manifold Σg ×Σh. In particular, we achieve all positive generafrom these families, providing first examples of infinite families of homotopicbut pairwise non-isotopic symplectic surfaces of even genera inside Σg ×Σh.
[发布日期] [发布机构] University of Waterloo
[效力级别] Symplectic Manifolds [学科分类]
[关键词] Mathematics;Symplectic Manifolds;Isotopy Problem;Branched Covers [时效性]
