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Alexander Kupers, Oscar Randal-Williams, Framings of Wg,1, The Quarterly Journal of Mathematics, Volume 72, Issue 3, September 2021, Pages 1029–1053, https://doi.org/10.1093/qmath/haaa057
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Abstract
We compute the set of framings of |$W_{g,1} = D^{2n} \# (S^{\,n} \times S^{\,n})^{\# g}$|, up to homotopy and diffeomorphism relative to the boundary.
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