Basic Classes for Four-manifolds Not of Simple Type
نویسنده
چکیده
We extend the notion of basic classes (for the Donaldson invariants) to 4-manifolds with b > 1 which are (potentially) not of simple type or satisfy b1 > 0. We also give a structure theorem for the Donaldson invariants of 4-manifolds with b > 1, b1 > 0 and of strong simple type.
منابع مشابه
Four-Manifold Geography and Superconformal Symmetry
A compact oriented 4-manifold is defined to be of “superconformal simple type” if certain polynomials in the basic classes (constructed using the Seiberg-Witten invariants) vanish identically. We show that all known 4-manifolds of b+2 > 1 are of superconformal simple type, and that the numerical invariants of 4-manifolds of superconformal simple type satisfy a generalization of the Noether ineq...
متن کاملLow dimensional flat manifolds with some classes of Finsler metric
Flat Riemannian manifolds are (up to isometry) quotient spaces of the Euclidean space R^n over a Bieberbach group and there are an exact classification of of them in 2 and 3 dimensions. In this paper, two classes of flat Finslerian manifolds are stuided and classified in dimensions 2 and 3.
متن کاملCommutative curvature operators over four-dimensional generalized symmetric spaces
Commutative properties of four-dimensional generalized symmetric pseudo-Riemannian manifolds were considered. Specially, in this paper, we studied Skew-Tsankov and Jacobi-Tsankov conditions in 4-dimensional pseudo-Riemannian generalized symmetric manifolds.
متن کاملFukaya-floer Homology of Σ × S 1 and Applications
We determine the Fukaya-Floer (co)homology groups of the three-manifold Y = Σ×S, where Σ is a Riemann surface of genus g ≥ 1. These are of two kinds. For the 1-cycle S ⊂ Y , we compute the Fukaya-Floer cohomology HFF ∗(Y, S) and its ring structure, which is a sort of deformation of the Floer cohomology HF (Y ). On the other hand, for 1-cycles δ ⊂ Σ ⊂ Y , we determine the Fukaya-Floer homology H...
متن کاملLocally finite basic classical simple Lie superalgebras
In this work, we study direct limits of finite dimensional basic classical simple Lie superalgebras and obtain the conjugacy classes of Cartan subalgebras under the group of automorphisms.
متن کامل