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The cobordism class of the multiple points of immersions

Gábor Braun
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Abstract

Let f: M -> N be an even codimensional immersion between smooth manifolds. We derive an explicit formula for the Pontrjagin numbers and signature of the multiple point manifolds in terms of singular cohomology of M and N, the maps induced between these by f and the characteristic classes of the normal bundle. The main trick is to solve a recursion in cohomology by the use of (generalized) formal power series.

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Gábor Braun. 2006-05-31. The cobordism class of the multiple points of immersions. https://doi.org/10.2140/agt.2008.8.581

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