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Slices of the special linear algebraic cobordism spectrum
Ahina Nandy, Oliver R\"ondigs, Egor Zolotarev
https://arxiv.org/abs/2606.05020 https://arxiv.org/pdf/2606.05020 https://arxiv.org/html/2606.05020
arXiv:2606.05020v1 Announce Type: new
Abstract: Let $F$ be a field of exponential characteristic $e$. We compute the slices of $\mathbf{MSL}[e^{-1}]$, where $\mathbf{MSL}$ is the special linear algebraic cobordism spectrum defined by Panin and Walter. The answer is expressed in terms of the second page of the Adams-Novikov spectral sequence for the special unitary cobordism spectrum, which was explicitly determined by Novikov. Its applicability is demonstrated by computations with the slice spectral sequence for $\mathbf{MSL}$, which determine the first few Milnor-Witt stems of its homotopy groups (up to the third) in terms of very effective hermitian $K$-theory. We also establish a decomposition of the rational special linear algebraic cobordism spectrum over an arbitrary qcqs scheme.
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Slices of the special linear algebraic cobordism spectrum
Ahina Nandy, Oliver R\"ondigs, Egor Zolotarev
https://arxiv.org/abs/2606.05020 https://arxiv…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- The geometric diagonal of the special linear algebraic cobordism
Egor Zolotarev
https://arxiv.org/abs/2409.16962 https://mastoxiv.page/@arXiv_mathAT_bot/113202746885878494
- Morse flow categories as exit path categories
Colin Fourel
https://arxiv.org/abs/2605.27112 https://mastoxiv.page/@arXiv_mathAT_bot/116645458854951002
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Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- The geometric diagonal of the special linear algebraic cobordism
Egor Zolotarev