Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658761 | Topology and its Applications | 2014 | 11 Pages |
Abstract
The rational homology balls BnBn appeared in Fintushel and Sternʼs rational blow-down construction [3] and were subsequently used in [10] and [4] to construct exotic smooth manifolds with small Euler numbers. We show that a large class of smooth 4-manifolds have all the BnBns for odd n⩾3n⩾3 embedded in them. In particular, we give explicit examples, using Kirby calculus, of several families of smooth embeddings of the rational homology balls BnBn.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Tatyana Khodorovskiy,