منابع مشابه
Definable isotopies
Let X be a definable C manifold, Y1, Y2 definably compact definable C r submanifolds of X such that dimY1 + dimY2 < dimX and Y1 has a trivial normal bundle. We prove that there exists a definable isotopy {hp}p∈J such that h0 = idX and h1(Y1) ∩ Y2 = ∅. 2010 Mathematics Subject Classification. 14P10, 14P20, 58A05, 03C64.
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Studying the space of Lagrangian submanifolds is a fundamental problem in symplectic topology. Lagrangian spheres appear naturally in the Leftschetz pencil picture of symplectic manifolds. In this paper we demonstrate the uniqueness up to Hamiltonian isotopy of the Lagrangian spheres in some 4-dimensional Stein symplectic manifolds. The most important example is the cotangent bundle of the 2-sp...
متن کاملFiber Quadrisecants in Knot Isotopies
Fix a straight line L in Euclidean 3-space and consider the fibration of the complement of L by half-planes. A generic knot K in the complement of L has neither fiber quadrisecants nor fiber extreme secants such that K touches the corresponding half-plane at 2 points. Both types of secants occur in generic isotopies of knots. We give lower bounds for the number of these fiber secants in all iso...
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We develop an isotopy principle for holomorphic motions. Our main result concerns the extendability of a holomorphic motion h(t, z) of a finite subset E of the Riemann sphere C parameterized by a pointed hyperbolic Riemann surface (X, t0). We prove that if this holomorphic motion has a guiding quasiconformal isotopy, then it can be extended to a new holomorphic motion of E ∪ {p} for any point p...
متن کاملKhovanov Homology and Star–like Isotopies
A star–like isotopy for oriented links in 3–space is an isotopy which uses only Reidemeister moves which correspond to the following singularities of planar curves : , , , . We define a link polynomial derived from the Jones polynomial which is, in general, only invariant under star–like isotopies and we categorify it.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1963
ISSN: 0002-9939
DOI: 10.2307/2034296