English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper, we study the algebraic cobordism spectrum $MSL$ in the motivicstable 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 $l$-divisblefor all primes $l\neq2, char k$). As an application, we study the Krichever'selliptic genus with integral coefficients, restricted to $MSL$. We determineits 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. Inthe appendix, we prove some convergence properties of the motivic Adamsspectral sequence.

Algebraic elliptic cohomology and flops II: $SL$-cobordism