K(pi,1) conjecture for the mixed elliptic motive algebra
K(pi,1) conjecture for the mixed elliptic motive algebra
Let be the elliptic curve and let be the algebra of mixed elliptic motives equipped with its grading and differential structure. K(pi,1) conjecture. is a 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.
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Primary source
Owen Patashnick, “A Candidate for the abelian category of mixed elliptic motives”, arXiv:1010.4685 (2013).
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