English

The Brylinski beta function of a surface

Differential Geometry 2010-12-21 v1 Complex Variables

Abstract

An analogue of Brylinski's knot beta function is defined for a submanifold of d-dimensional Euclidean space. This is a meromorphic function on the complex plane. The first few residues are computed for a surface in three dimensional space.

Keywords

Cite

@article{arxiv.1012.4096,
  title  = {The Brylinski beta function of a surface},
  author = {E. J. Fuller and M. K. Vemuri},
  journal= {arXiv preprint arXiv:1012.4096},
  year   = {2010}
}
R2 v1 2026-06-21T17:01:01.152Z