7 citations · 9 across the 6 of their papers we have counts for
6 papers
Boundedness of Dehn surgery slopes admitting hyperbolic -representations for two-bridge knots
Shunjiang Jiang, Ran Tao
We study Dehn fillings on two-bridge knots via non-abelian representations into whose meridian image is hyperbolic. For each fixed nontrivial two-bridg…
Tree-like graphings, wallings, and median graphings of equivalence relations
Ruiyuan Chen, Antoine Poulin, Ran Tao +1
We prove several results showing that every locally finite Borel graph whose large-scale geometry is "tree-like" induces a treeable equivalence relation. In particular, our hypothe…
A construction of minimal linear codes from partial difference sets
Ran Tao, Tao Feng, Weicong Li
In this paper, we study a class of linear codes defined by characteristic functions of certain subsets of a finite field. We derive a sufficient and necessary condition for such a…
Connected sums of knots do not admit purely cosmetic surgeries
Ran Tao
Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that non-trivial knots in do no…
An infinite family of -ovoids of
Tao Feng, Ran Tao
In this paper, we construct an infinite family of -ovoids of the generalized quadrangle , for and . Together with the exampl…
Cable knots do not admit cosmetic surgeries
Ran Tao
Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that non-trivial knots in do no…