منابع مشابه
#-cobordisms with Foliated Control
We announce a foliated version of Ferry's metric h-cobordism theorem [13]. Let M be a compact Riemarinian manifold and 7 a smooth foliation of M such that the sectional curvatures of the leaves of 7 are zero. There are numbers a > 0 (depending only on dim(M)) and 6 > 0 (depending on M and 7) so that if W is an h-cobordism over M having 6 control in the directions perpendicular to 7 and having a...
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Given a manifold M of dimension at least 4 whose universal covering is homeomorphic to a sphere, the main result states that a compact manifold W is isomorphic to a cylinder M × [0, 1] if and only if W is homotopy equivalent to this cylinder and the boundary is isomorphic to two copies of M ; this holds in the smooth, PL and topological categories. The result yields a classification of smooth, ...
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We start to study the problem of classifying smooth proper varieties over a field k from the standpoint of A-homotopy theory. Motivated by the topological theory of surgery, we discuss the problem of classifying up to isomorphism all smooth proper varieties having a specified A-homotopy type. Arithmetic considerations involving the sheaf of A-connected components lead us to introduce several di...
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Interest in cobordism categories arises in areas from topology to theoretical physics, and in particular in Topological Quantum Field Theories (TQFT’s). These categories have manifolds as objects, and cobordisms between them as morphisms, have that is, manifolds of one dimension higher whose boundary decomposes into the source and target. Since the boundary of a boundary is empty, this formulat...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1986
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1986-15437-6