Higher-order invariants of immersions of surfaces into 3-space

Tahl Nowik

Vol. 223 (2006), No. 2, 333–347

DOI: 10.2140/pjm.2006.223.333

Abstract

We classify all finite-order invariants of immersions of a closed orientable surface into ℝ³, with values in any abelian group. We show that they are all functions of an order one invariant.

Keywords

immersions of surfaces, finite order invariants

Mathematical Subject Classification 2000

Primary: 57M99, 57R42

Milestones

Received: 23 June 2004

Revised: 15 December 2004

Accepted: 15 January 2005

Published: 1 February 2006