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Glasgow Mathematical Journal Glasgow Mathematical Journal

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ON SELF-INTERSECTION INVARIANTS

Published online by Cambridge University Press:  02 August 2012

MARK GRANT
MARK GRANT
Affiliation:
School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom e-mail: Mark.Grant@nottingham.ac.uk
Corresponding
E-mail address:
Mark.Grant@nottingham.ac.uk
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Abstract

We prove that the Hatcher–Quinn and Wall invariants of a self-transverse immersion f: Nn ↬ M2n coincide. That is, we construct an isomorphism between their target groups, which carries one onto the other. We also employ methods of normal bordism theory to investigate the Hatcher–Quinn invariant of an immersion f: Nn ↬ M2n−1.

Keywords

Primary 57R42 57R40 Secondary 57R19 57R67
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 2 , May 2013 , pp. 259 - 273
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

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