Representing codimension-one homology classes by embedded submanifolds
نویسندگان
چکیده
منابع مشابه
Realizing homology classes by symplectic submanifolds
In this note we prove that a positive multiple of each even-dimensional integral homology class of a compact symplectic manifold (M2n, ω) can be represented as the difference of the fundamental classes of two symplectic submanifolds in (M2n, ω). We also prove the realizability of some integral homology classes by symplectic submanifolds in (M2n, ω).
متن کاملBoundedness for Codimension Two Submanifolds of Quadrics
It is proved that there are only finitely many families of codimension two subvarieties not of general type in Q6.
متن کاملOn homogeneity of embedded submanifolds
We discuss in the paper the problem that is connected in their roots with the several variables complex analysis. But its study shows the actuality of the problem itself as well as the questins near to it for the many sections of modern mathematics, using or touching the notion of homogeneity. To exlain the interest of complex analysis to last term recall for example the classical Riemann theor...
متن کاملCodimension One Symplectic Foliations
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.
متن کاملEmbeddings of Homology Manifolds in Codimension
Among the many problems attendant to the discovery of exotic generalized manifolds [2, 3] is the \normal bundle" problem, that is, the classi cation of neighborhoods of generalized manifolds tamely embedded in generalized manifolds (with the disjoint disks property). In this paper we study the normal structure of tame embeddings of a closed generalized manifold X into topological manifolds V n+...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1977
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1977.68.175