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Bordism Groups of Immersions and Classes Represented by Self-Intersections

Peter J. Eccles·Mark Grant
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Abstract

We prove a geometrical version of Herbert's theorem by considering the self-intersection immersions of a self-transverse immersion up to bordism. This generalises Herbert's theorem to additional cohomology theories and gives a commutative diagram in the homotopy of Thom complexes. The proof uses Koschorke and Sanderson's operations and the fact that bordism of immersions gives a functor on the category of smooth manifolds and immersions.

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Peter J. Eccles, Mark Grant. 2005-04-07. Bordism Groups of Immersions and Classes Represented by Self-Intersections. https://doi.org/10.2140/agt.2007.7.1081

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