M. Tange

activity

20072025

most citedA construction of slice knots via annulus twists

7 citations · 43 across the 24 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GT2016

Notes on Gompf's infinite order corks

Motoo Tange

For any positive integer $n$ we give a $Z^{n}$ -cork with a $Z^{n}$ -effective embedding in a 4-manifold being homeomorphic to $E (n)$ . This means that a cork gives a…

math.GT2016★ 6 cited

Non-existence theorems on infinite order corks

Motoo Tange

Suppose that $X, X^{'}$ are simply-connected closed exotic 4-manifolds. It is well-known that $X^{'}$ is obtained by an order 2 cork twist of $X$ . We give an infinite exotic family of 4-m…

math.GT2016★ 1 cited

Finite order corks

Motoo Tange

We show that for any po sitive integer $m$ , there exist order $n$ Stein corks. The boundaries are cyclic branched covers of slice knots embedded in the boundary of corks. By applyi…