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

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.

Sources & referencesView supporting material

Primary source

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

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.