Egor Zolotarev

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math.AT2026

On the metalinear algebraic cobordism spectrum

Ahina Nandy, Egor Zolotarev

In this paper, we study the metalinear algebraic cobordism spectrum $MML$ (also sometimes denoted $MSL^{c}$ ), which is built from the structure groups of oriented v…

math.AT2026

Slices of the special linear algebraic cobordism spectrum

Ahina Nandy, Oliver Röndigs, Egor Zolotarev

Let $F$ be a field of exponential characteristic $e$ . We compute the slices of $MSL [e^{- 1}]$ , where $MSL$ is the special linear algebraic cobordism spectrum defin…

math.AT2024

The geometric diagonal of the special linear algebraic cobordism

Egor Zolotarev

The motivic version of the $c_{1}$ -spherical cobordism spectrum is constructed. A connection of this spectrum with other motivic Thom spectra is established. Using this connection, w…