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- W2766708758 abstract "The space of based loops in SLn(C), also known as the affine Grassmannian of SLn(C), admits an E2 or fusion product. Work of Mitchell and Richter proves that this based loop space stably splits as an infinite wedge sum. We prove that the Mitchell–Richter splitting is coherently multiplicative, but not E2. Nonetheless, we show that the splitting becomes E2 after base-change to complex cobordism. Our proof of the A∞ splitting involves on the one hand an analysis of the multiplicative properties of Weiss calculus, and on the other a use of Beilinson–Drinfeld Grassmannians to verify a conjecture of Mahowald and Richter. Other results are obtained by explicit, obstruction-theoretic computations." @default.
- W2766708758 created "2017-11-10" @default.
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- W2766708758 date "2019-05-01" @default.
- W2766708758 modified "2023-10-05" @default.
- W2766708758 title "Multiplicative structure in the stable splitting of ΩSLn(C)" @default.
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- W2766708758 doi "https://doi.org/10.1016/j.aim.2019.03.022" @default.
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