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Algebraic elliptic cohomology and flops ...
Levine, Marc...

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Algebraic elliptic cohomology and flops II: $SL$-cobordism by Levine, Marc ( Author )
Lemonjar Open Access
Australian National University
10-08-2023
In this paper, we study the algebraic cobordism spectrum $MSL$ in the motivic stable homotopy category of Voevodsky over an arbitrary perfect field $k$. Using the motivic Adams spectral sequence, we compute the geometric part of the $\eta$-completion of $MSL$ (modulo the maximal subgroup that is $l$-divisble for all primes $l\neq2, char k$). As an application, we study the Krichever's elliptic genus with integral coefficients, restricted to $MSL$. We determine its image, and identify its kernel as the ideal generated by differences of $SL$-flops. This was proved by B. Totaro in the complex analytic setting. In the appendix, we prove some convergence properties of the motivic Adams spectral sequence.
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English
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MYR 0.01
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http://arxiv.org/abs/1610.00396
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