Andrew Senger

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20242026

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math.AT2025

Splitting the Madsen-Tillmann Spectra $M T I^¸_{n}$

Jonathan Sejr Pedersen, Andrew Senger

We prove that the Madsen-Tillmann spectrum $M T I^¸_{n}$ splits into the sum of spectra $I^£^{- 2 n} M O ⟨ n + 1 ⟩ \oplus I^£^{\infty - 2 n} R P_{2 n}^{\infty}$ after Postnikov tru…

math.AT2025

Examples of disk algebras

Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2

We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum $B P$ , its truncated variants $B P ⟨ n ⟩$ , Ravenel's spectra $X (n)$ , and even…

Splitting the Madsen-Tillmann Spectra MTI^¸n​

Examples of disk algebras

Splitting the Madsen-Tillmann Spectra $M T I^¸_{n}$