Zobrazeno 1 - 10
of 106
pro vyhledávání: '"STERN, RONALD J."'
Autor:
Fintushel, Ronald, Stern, Ronald J.
By studying the example of smooth structures on CP^2#3(-CP^2) we illustrate how surgery on a single embedded nullhomologous torus can be utilized to change the symplectic structure, the Seiberg-Witten invariant, and hence the smooth structure on a 4-
Externí odkaz:
http://arxiv.org/abs/1111.4509
Autor:
Fintushel, Ronald, Stern, Ronald J.
Publikováno v:
Algebr. Geom. Topol. 11 (2011) 1649-1699
We present a method for finding embedded nullhomologous tori in standard 4-manifolds which can be utilized to change their smooth structure. As an application, we show how to obtain infinite families of simply connected smooth 4-manifolds with b^+ =
Externí odkaz:
http://arxiv.org/abs/1004.3049
We produce infinite families of exotic actions of finite cyclic groups on simply connected smooth 4-manifolds with nontrivial Seiberg-Witten invariants.
Comment: 13 pages. Minor changes, some references added. To appear in Journal of Topology
Comment: 13 pages. Minor changes, some references added. To appear in Journal of Topology
Externí odkaz:
http://arxiv.org/abs/0902.0963
Publikováno v:
Algebr. Geom. Topol. 7 (2007) 2103-2116
We introduce a general procedure called `reverse engineering' that can be used to construct infinite families of smooth 4-manifolds in a given homeomorphism type. As one of the applications of this technique, we produce an infinite family of pairwise
Externí odkaz:
http://arxiv.org/abs/math/0701846
Autor:
Fintushel, Ronald, Stern, Ronald J.
For 5 <= k <= 8 we show that the infinite family of exotic smooth structures on CP^2# k(-CP^2) can be achieved by 1/n - surgeries on a single embedded nullhomologous torus in a manifold R_k which is homeomorphic to CP^2# k(-CP^2).
Comment: 16 pa
Comment: 16 pa
Externí odkaz:
http://arxiv.org/abs/math/0701043
Autor:
Fintushel, Ronald, Stern, Ronald J.
Despite spectacular advances in defining invariants for simply connected smooth and symplectic 4-dimensional manifolds and the discovery of effective surgical techniques, we still have been unable to classify simply connected smooth manifolds up to d
Externí odkaz:
http://arxiv.org/abs/math/0610700
Autor:
Fintushel, Ronald, Stern, Ronald J.
In this note we fill a gap in the proof of the main theorem (Theorem 1.2) of our paper 'Surfaces in 4-manifolds', Math. Res. Letters 4 (1997), 907-914.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/math/0511707
Autor:
Stern, Ronald J.
These notes are adapted from two talks given at the 2004 Clay Institute Summer School on Floer homology, gauge theory, and low dimensional topology at the Alfred Renyi Institute. We will quickly review what we do and do not know about the existence a
Externí odkaz:
http://arxiv.org/abs/math/0502164
Autor:
Fintushel, Ronald, Stern, Ronald J.
We introduce a new technique that is used to show that the complex projective plane blown up at 6, 7, or 8 points has infinitely many distinct smooth structures. None of these smooth structures admit smoothly embedded spheres with self-intersection -
Externí odkaz:
http://arxiv.org/abs/math/0412126
Autor:
Fintushel, Ronald, Stern, Ronald J
Publikováno v:
Geom. Topol. Monogr. 7 (2004) 311-333
We study the question of how many embedded symplectic or Lagrangian tori can represent the same homology class in a simply connected symplectic 4-manifold.
Comment: Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/
Comment: Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/
Externí odkaz:
http://arxiv.org/abs/math/0311332