INTERNATIONAL JOURNAL OF MATHEMATICS 29(11) 2018年10月 [査読有り]
We show that, for a closed orientable n-manifold, with n not congruent to 3 modulo 4, the existence of a CR-regular embedding into complex (n - 1)-space ensures the existence of a totally real embedding into complex n-space. This implies that a cl...
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 370(3) 2023-2038 2018年3月 [査読有り]
It is shown that every knot or link is the set of complex tangents of a 3-sphere smoothly embedded in the 3-dimensional complex space. We show in fact that a 1-dimensional submanifold of a closed orientable 3-manifold can be realised as the set of...
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 161(2) 237-246 2016年9月 [査読有り]
For each diagram D of a 2-knot, we provide a way to construct a new diagram D' of the same knot such that any sequence of Roseman moves between D and D' necessarily involves branch points. The proof is done by developing the observation that no sp...