Spaces of knots and configuration spaces
Spaces of knots and configuration spaces
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Fred Cohen, University of Rochester
The structure of the space of 'long knots in \R3' was developed in a series of papers by R. Budney with applications in joint work with Budney. An introduction to this space together with homological properties, and their connections to configuration spaces will be developed. For example, the singular homology of the space of knots will be considered.