Real spin bordism and orientations of topological K-theory
Abstract
We construct a commutative orthogonal C 2 C_2 -ring spectrum, M S p i n R c \mathrm {MSpin}^c_{\mathbb {R}} , along with a C 2 C_2 - E ∞ E_{\infty } -orientation M S p i n R c → K U R \mathrm {MSpin}^c_{\mathbb {R}} \to \mathrm {KU}_{\mathbb {R}} of Atiyah’s Real K-theory. Further, we define E ∞ E_{\infty } -maps M S p i n → ( M S p i n R c ) C 2 \mathrm {MSpin} \to (\mathrm {MSpin}^c_{\mathbb {R}})^{C_2} and
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Operator Algebra Research
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publication date
- 4 February 2026
- Language
- EN