R. Tao

activity

20182026

most citedConnected sums of knots do not admit purely cosmetic surgeries

7 citations · 9 across the 6 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.GT2019★ 7 cited

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 $S^{3}$ do no…

math.CO2019

An infinite family of $m$ -ovoids of $Q (4, q)$

Tao Feng, Ran Tao

In this paper, we construct an infinite family of $\frac{q - 1}{2}$ -ovoids of the generalized quadrangle $Q (4, q)$ , for $q \equiv 1 (mod 4)$ and $q > 5$ . Together with the exampl…

Connected sums of knots do not admit purely cosmetic surgeries

An infinite family of m-ovoids of Q(4,q)

An infinite family of $m$ -ovoids of $Q (4, q)$