4 problems

Let $(M_{8\ell+2},g_M^{\mathrm{spin}})$ be a closed differential spin manifold, and let $g_M^{\mathrm{string}}$ be a lift of its spin structure to a differential string structure.…

Hopkins's block upper-triangular characteristic-class conjecture. This induced map is an isomorphism. The statement appears among results attributed to ideas of Bott, but the sourc…

Let $X$ be a closed Riemannian manifold of odd dimension $d$ equipped with a generalized Dirac operator $\slashed{D}$. Let…

Let $\pi:M\to B$ be a proper submersion between manifolds, let $V$ be a bundle of $R$-modules with geometry $h^{V}$, let $g^{\pi}$ be a Riemannian structure on $\pi$, and let…