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| Paper IPM / M / 17393 |
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| Abstract: | |
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For a given immersion $M^7\looparrowright{\mathbb R}^8$, we completely determine bordism class of its self-intersection manifolds. This is done by computing the image of the unstable Hurewicz homomorphism
$$h:\pi_8^s{\mathbb R} P^\infty\simeq \pi_8Q{\mathbb R} P^\infty\to H_8(Q{\mathbb R} P^\infty;{\mathbb Z}/2)$$
and applying formulae of Asadi-Golmankhaneh and Eccles.
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