James F. Conant

activity

19992020

most citedOn a theorem of Kontsevich

121 citations · 373 across the 35 of their papers we have counts for

collaborators

40 papers

math.GT2020★ 1 cited

Clasper Concordance, Whitney towers and repeating Milnor invariants

James Conant, Rob Schneiderman, Peter Teichner

We show that for each $k \in N$ , a link $L \subset S^{3}$ bounds a degree $k$ Whitney tower in the 4-ball if and only if it is \emph{ $C_{k}$ -concordant} to the unlink. This means…

math.QA2016

Addendum to "The Johnson cokernel and the Enomoto-Satoh invariant": The ES-trace detects all top-level partitions

James Conant

The degree $d$ part of the cokernel $C_{d}$ of the Johnson homomorphism decomposes into irreducible $SP$ -modules indexed by partitions of $d - 2 r$ for $r \geq 0$ : $$\ma…

math.GT2016

The Conway Polynomial and Amphicheiral Knots

James Conant, Vajira Manathunga

According to work of Hartley and Kawauchi in 1979 and 1980, the Conway Polynomial of all negative amphicheiral knots and strongly positive amphicheiral knots factors as $ϕ (z) ϕ (- z)$ …

math.GT2016

Cochran's $β^{i}$ invariants via twisted Whitney towers

Jim Conant, Rob Schneiderman, Peter Teichner

We show that Tim Cochran's invariants $β^{i} (L)$ of a $2$ -component link $L$ in the $3$ --sphere can be computed as intersection invariants of certain 2-complexes in the $4$ --ball wit…

math.AT2015★ 11 cited

Hopf Algebras and Invariants of the Johnson Cokernel

Jim Conant, Martin Kassabov

We show that if H is a cocommutative Hopf algebra, then there is a natural action of Aut(F_n) on the nth tensor power of H which induces an Out(F_n) action on a quotient \overline{…

math.QA2015★ 1 cited

The Lie Lie algebra