Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

A formula for topology/deformations and its significance

Ruth LawrenceDennis Sullivan — 2014

Fundamenta Mathematicae

The formula is e = ( a d e ) b + i = 0 ( B i ) / i ! ( a d e ) i ( b - a ) , with ∂a + 1/2 [a,a] = 0 and ∂b + 1/2 [b,b] = 0, where a, b and e in degrees -1, -1 and 0 are the free generators of a completed free graded Lie algebra L[a,b,e]. The coefficients are defined by x / ( e x - 1 ) = n = 0 B / n ! x . The theorem is that ∙ this formula for ∂ on generators extends to a derivation of square zero on L[a,b,e]; ∙ the formula for ∂e is unique satisfying the first property, once given the formulae for ∂a and ∂b, along with the condition that the “flow” generated by e moves a to b in unit...

Page 1

Download Results (CSV)