搜索结果: 1-7 共查到“拓扑学 genus”相关记录7条 . 查询时间(0.154 秒)
The minimal genus problem for elliptic surfaces
4-manifold elliptic surface diffeomorphism group minimal genus
2012/6/25
We partly solve the minimal genus problem for embedded surfaces in the case of elliptic 4-manifolds. This involves a certain restricted transitivity property of the action of the orientation preservin...
Obtaining genus 2 Heegaard splittings from Dehn surgery
genus 2 Heegaard splittings Dehn surgery Geometric Topology
2012/5/9
Let K' be a hyperbolic knot in S^3 and suppose that some Dehn surgery on K' with distance at least 3 from the meridian yields a 3-manifold M of Heegaard genus 2. We show that if M does not contain an ...
Separating Curve Complex of the Genus Two Surface is Hyperbolic
Curve Complex the Genus Two Surface Hyperbolic Geometric Topology
2011/9/8
Abstract: A proof that the separating curve complex of the closed genus two surface has a quasi-distance formula and is delta hyperbolic using tools of Masur and Schleimer. This answers in the affirma...
Cosmetic crossings of genus one knots
cosmetic crossing nugatory crossing Thurston norm pretzel knot Whitehead double
2011/9/1
Abstract: We show that for genus one knots the Alexander polynomial and the homology of the double cover branching over the knot provide obstructions to cosmetic crossings. As an application we prove ...
Auroux, Donaldson and Katzarkov introduced broken Lefschetz fibrations as a generalization of Lefshcetz fibrations in order to describe near-symplectic 4-manifolds.We first study monodromy representat...
The Topology of Scaling Limits of Positive Genus Random Quadrangulations
Topology of Scaling Limits Positive Genus Random Quadrangulations
2011/2/22
We discuss scaling limits of large bipartite quadrangulations of positive genus. For a given g,
we consider, for every n 1, a random quadrangulation qn uniformly distributed over the set
of all ro...
Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero
Half-balanced braided monoidal categories Teichmueller groupoids in genus zero
2010/12/6
We introduce the notions of a half-balanced braided monoidal category and of its contraction. These notions give rise to an explicit description of the action of the Galois group of Q on Teichm¨uller ...