Ruifeng Qiu

activity

20042015

most citedThe Heegaard distances cover all non-negative integers

19 citations · 37 across the 13 of their papers we have counts for

collaborators

13 papers

math.GT2015

3-manifolding admitting locally large distance 2 Heegaard splittings

Ruifeng Qiu, Yanqing Zou

From the view of Heegaard splitting, it is known that if a closed orientable 3-manifold admits a distance at least three Heegaard splitting, then it is hyperbolic. However, for a c…

math.GT2014

Angle structures and hyperbolic $3$ -manifolds with totally geodesic boundary

Faze Zhang, Ruifeng Qiu, Tian Yang

This notes explores angle structures on ideally triangulated compact $3$ -manifolds with high genus boundary. We show that the existence of angle structures implies the existence of…

math.GT2013★ 1 cited

On the degeneration of tunnel numbers under connected sum

Tao Li, Ruifeng Qiu

We show that, for any integer $n \geq 3$ , there is a prime knot $k$ such that (1) $k$ is not meridionally primitive, and (2) for every $m$ -bridge knot $k^{'}$ with $m \leq n$ , the tunnel…

math.GT2013★ 19 cited

The Heegaard distances cover all non-negative integers

Ruifeng Qiu, Yanqing Zou, Qilong Guo

In this paper, we prove that (1) For any integers $n \geq 1$ and $g \geq 2$ , there is a closed 3-manifold $M_{g}^{n}$ which admits a distance $n$ Heegaard splitting of genus $g$ exce…

math.GT2009★ 3 cited

Degenerating slopes with respect to Heegaard distance

Jiming Ma, Ruifeng Qiu

Let $M = H_{+} \cup_{S} H_{-}$ be a genus $g$ Heegaard splitting with Heegaard distance $n \geq κ + 2$ : (1) Let $c_{1}$ , $c_{2}$ be two slopes in the same component of $\partial_{-}H_{-}…

math.GT2009

A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

Tao Li, Ruifeng Qiu, Shicheng Wang

Let $M$ be an orientable 3-manifold with $\partial M$ a single torus. We show that the number of boundary slopes of immersed essential surfaces with genus at most $g$ is bounded by…