CORDIS Project
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This project investigates the unique characteristics of four-dimensional smooth manifolds, focusing on the genus function and the role of knots and their slice surfaces. It aims to develop new techniques for constructing exotic structures and understanding their properties, ultimately proposing a candidate invariant to…
Four-dimensional smooth manifolds show very different behaviour than manifolds in any other dimension.
In fact, in other dimensions we have a somewhat clear picture of the classification, while dimension four is still elusive.
The project aims to further our knowledge in this question in several ways.
The genus function, and its enhanced version taking knots and their slice surfaces into account, plays a crucial role in understanding different smooth structures on four-manifolds.
Techniques for…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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