K(pi,1) conjecture for the mixed elliptic motive algebra

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Let EE be the elliptic curve and let AM(E){\mathcal A}_{{\frak M}(E)} be the algebra of mixed elliptic motives equipped with its grading and differential structure. K(pi,1) conjecture. AM(E){\mathcal A}_{{\frak M}(E)} is a K(π,1)K(\pi,1) in the sense of Sullivan. The paper presents this as a stronger conjecture than cohomological connectedness, motivated by the role of minimal-model machinery in the study of the algebra and its cohomology. No resolution of this stronger conjecture is given in the supplied text.

References

Primary source

Owen Patashnick, “A Candidate for the abelian category of mixed elliptic motives”, arXiv:1010.4685 (2013).

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