Project Details
Description
There is a natural way of identifying knots and links in 3-space with
covering spaces defined as zero sets for parametrized families of complex
polynomials over the circle (polynomial covering spaces over the circle).
The geometrical objects mentioned can all be constructed by closing a
braid around an axis in 3-space. Polynomial invariants are very important
in the study of knots and links. However, polynomials of Weierstrass type,
as above, have not been considered in the earlier studies. In the present
project these connections are examined.
covering spaces defined as zero sets for parametrized families of complex
polynomials over the circle (polynomial covering spaces over the circle).
The geometrical objects mentioned can all be constructed by closing a
braid around an axis in 3-space. Polynomial invariants are very important
in the study of knots and links. However, polynomials of Weierstrass type,
as above, have not been considered in the earlier studies. In the present
project these connections are examined.
| Status | Active |
|---|---|
| Effective start/end date | 01/01/1996 → … |
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