Geodesic
On the vanishing of the third spin cobordism group~$\Omega_3^{\mathrm{Spin}}$
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 290-302

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An elementary proof of the theorem given in the title is presented. 
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     author = {A. I. Stipsicz},
     title = {On the vanishing of the third spin cobordism group~$\Omega_3^{\mathrm{Spin}}$},
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     pages = {290--302},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a21/}
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A. I. Stipsicz. On the vanishing of the third spin cobordism group~$\Omega_3^{\mathrm{Spin}}$. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 290-302. http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a21/