Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Yasui, Kouichi"'
Given a closed four-manifold with $b_1=0$ and a prime number $p$, we prove that for any mod $p^r$ basic class, the virtual dimension of the Seiberg-Witten moduli space is bounded above by $2r(p-1)-2$ under some conditions on $r$ and $b_2^+$. As an ap
Externí odkaz:
http://arxiv.org/abs/2111.15201
We prove that, under a simple condition on the cohomology ring, every closed 4-manifold has mod 2 Seiberg-Witten simple type. This result shows that there exists a large class of topological 4-manifolds such that all smooth structures have mod 2 simp
Externí odkaz:
http://arxiv.org/abs/2009.06791
Autor:
Yasui, Kouichi
Publikováno v:
Geom. Topol. 23 (2019) 2685-2697
We show that every positive definite closed 4-manifold with $b_2^+>1$ and without 1-handles has a vanishing stable cohomotopy Seiberg-Witten invariant, and thus admits no symplectic structure. We also show that every closed oriented 4-manifold with $
Externí odkaz:
http://arxiv.org/abs/1807.11453
Autor:
Yasui, Kouichi
It is well known that for any exotic pair of simply connected closed oriented 4-manifolds, one is obtained from the other by twisting a compact contractible submanifold via an involution on the boundary. By contrast, here we show that for each positi
Externí odkaz:
http://arxiv.org/abs/1610.04033
Autor:
Yasui, Kouichi
We show that, under a certain condition, contact 5-manifolds can `coarsely' distinguish smooth structures on compact Stein 4-manifolds via contact open books. We also give a simple sufficient condition for an infinite family of Stein 4-manifolds to h
Externí odkaz:
http://arxiv.org/abs/1604.03460
Autor:
Yasui, Kouichi
Publikováno v:
Compositio Math. 152 (2016) 1899-1914
We give a method for constructing a Legendrian representative of a knot in $S^3$ which realizes its maximal Thurston-Bennequin number under a certain condition. The method utilizes Stein handle decompositions of $D^4$, and the resulting Legendrian re
Externí odkaz:
http://arxiv.org/abs/1508.05615
Autor:
Yasui, Kouichi
For a 4-manifold represented by a framed knot in $S^3$, it has been well known that the 4-manifold admits a Stein structure if the framing is less than the maximal Thurston-Bennequin number of the knot. In this paper, we prove either the converse of
Externí odkaz:
http://arxiv.org/abs/1508.01491
Autor:
Yasui, Kouichi
We show that, for each integer n, there exist infinitely many pairs of n-framed knots representing homeomorphic but non-diffeomorphic (Stein) 4-manifolds, which are the simplest possible exotic 4-manifolds regarding handlebody structures. To produce
Externí odkaz:
http://arxiv.org/abs/1505.02551
Autor:
Akbulut, Selman, Yasui, Kouichi
We construct a contact 5-manifold supported by infinitely many distinct open books with the identity monodromy and pairwise exotic Stein pages (i.e. pages are pairwise homeomorphic but non-diffeomorphic Stein fillings of a fixed contact 3-manifold),
Externí odkaz:
http://arxiv.org/abs/1502.06118
We introduce symplectic Calabi-Yau caps to obtain new obstructions to exact fillings. In particular, it implies that any exact filling of the standard unit cotangent bundle of a hyperbolic surface has vanishing first Chern class and has the same inte
Externí odkaz:
http://arxiv.org/abs/1412.3208