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2008 The cobordism class of the multiple points of immersions
Gábor Braun
Algebr. Geom. Topol. 8(1): 581-601 (2008). DOI: 10.2140/agt.2008.8.581

Abstract

Using generating functions, we derive a multiple point formula for every generic immersion between even dimensional oriented manifolds. This produces explicit formulas for the signature and Pontrjagin numbers of the multiple point manifolds. The formulas take a particular simple form in many special cases, eg when the immersion is nullhomotopic, we recover Szűcs’s formulas in [Proc. Amer. Math. Soc. 126 (1998) 1873-1882]. They also include Hirzebruch’s virtual signature formula in Topological methods in algebraic geometry.

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Gábor Braun. "The cobordism class of the multiple points of immersions." Algebr. Geom. Topol. 8 (1) 581 - 601, 2008. https://doi.org/10.2140/agt.2008.8.581

Information

Received: 27 June 2005; Revised: 19 April 2006; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1145.57025
MathSciNet: MR2443239
Digital Object Identifier: 10.2140/agt.2008.8.581

Subjects:
Primary: 57R20, 57R42
Secondary: 16W60, 57R75

Rights: Copyright © 2008 Mathematical Sciences Publishers

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Vol.8 • No. 1 • 2008
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