On four-manifolds fibering over surfaces
نویسندگان
چکیده
منابع مشابه
On fibering and splitting of 5-manifolds over the circle
Our main result is a generalization of Cappell’s 5-dimensional splitting theorem. As an application, we analyze, up to internal s-cobordism, the smoothable splitting and fibering problems for certain 5-manifolds mapping to the circle. For example, these maps may have homotopy fibers which are in the class of finite connected sums of certain geometric 4-manifolds. Most of these homotopy fibers h...
متن کاملOn Hyperbolic 4-manifolds Fibered over Surfaces
In this paper we prove that for any hyperbolic 4-manifold M , which is R 2 bundle over surface , the absolute value of the Euler number e() of the bration : M ! is not greater than exp(exp(10 8 j(()j)). This result partially corroborates a conjecture of Gromov, Lawson and Thurston that je()j j(()j.
متن کاملChern-Simons pre-quantization over four-manifolds
We introduce a pre-symplectic structure on the space of connections in aG-principal bundle over a four-manifold and a Hamiltonian action on it of the group of gauge transformations that are trivial on the boundary. The moment map is given by the square of curvature so that the 0-level set is the space of flat connections. Thus the moduli space of flat connections is endowed with a pre-symplecti...
متن کاملThe rank of the fundamental group of certain hyperbolic 3–manifolds fibering over the circle
Probably the most basic invariant of a finitely generated group is its rank, ie the minimal number of elements needed to generate it. In general the rank of a group is not computable. For instance, there are examples, due to Baumslag, Miller and Short [3], of hyperbolics groups showing that there is no uniform algorithm solving the rank problem. Everything changes in the setting of 3–manifold g...
متن کاملOn the Yang–Mills Functional over Open Four-Manifolds
In this paper we prove that for a large and physically relevant class of smooth complete metrics on open four-manifolds the set of L-norms or energies of (anti-)self-dual finite-energy G-connections is discrete where G is a simple, connected, simply connected and compact Lie group. The proof is based on the Atiyah–Patodi–Singer Index Theorem. To demonstrate our result we consider the Euclidean ...
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: Tsukuba Journal of Mathematics
سال: 1998
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496163584