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- W2079521291 abstract "The graded algebra Λ defined by Pierre Vogel is of general interest in the theory of finite-type invariants of knots and of 3-manifolds because it acts on spaces of connected graphs subject to relations called IHX and AS. We examine a subalgebra Λ 0 that is generated by certain elements called t and x n with n≥ 3. Two families of relations in Λ 0 are derived and it is shown that the dimension of Λ 0 grows at most quadratically with respect to degree. Under the assumption that t is not a zero divisor in Λ 0 , a basis of Λ 0 and an isomorphism from Λ 0 to a sub-ring of Z[t,u,v] is given." @default.
- W2079521291 created "2016-06-24" @default.
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- W2079521291 date "2001-08-01" @default.
- W2079521291 modified "2023-09-27" @default.
- W2079521291 title "ON SPACES OF CONNECTED GRAPHS II: RELATIONS IN THE ALGEBRA Λ" @default.
- W2079521291 cites W2086114750 @default.
- W2079521291 doi "https://doi.org/10.1142/s0218216501001074" @default.
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