Algebra of formal vector fields on the line and Buchstaber's conjecture

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dc.creatorMillionschikov, Dmitri
dc.date2008-07-03
dc.date.accessioned2026-07-07T09:48:35Z
dc.date.available2026-07-07T09:48:35Z
dc.descriptionLet L_1 denotes the Lie algebra of formal vector fields on the line which vanish at the origin together with their first derivatives. Buchstaber and Shokurov have shown that the universal enveloping algebra U(L_1) is isomorphic to the tensor product of the Landweber-Novikov algebra S in complex cobordism theory by reals. The cohomology H*(L_1) has trivial multiplication. Buchstaber conjectured that H*(L_1) is generated with respect to non-trivial Massey products by H^1(L_1). Feigin, Fuchs and Retakh found representation of H*(L_1) by trivial Massey products. In the present article we prove that H*(L_1) is generated with respect to non-trivial Massey products by two elements from H^1(L_1).
dc.identifierhttps://arxiv.org/abs/0807.0653
dc.identifierhttp://arxiv.org/abs/0807.0653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164269
dc.subjectRepresentation Theory
dc.subjectAlgebraic Topology
dc.subject17B56; 55S30
dc.titleAlgebra of formal vector fields on the line and Buchstaber's conjecture
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