8 citations · 8 across the 2 of their papers we have counts for
7 papers · 1 filter
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
A surgery formula for the 2-loop piece of the LMO invariant of a pair
Andrew Kricker
Let Θ(M,K) denote the 2-loop piece of (the logarithm of) the LMO invariant of a knot K in M, a ZHS^3. Forgetting the knot (by which we mean setting diagrams with legs to zero) spec…
A surgery view of boundary links
Stavros Garoufalidis, Andrew Kricker
A celebrated theorem of Kirby identifies the set of closed oriented connected 3-manifolds with the set of framed links in modulo two moves. We give a similar description for…
Finite type invariants of cyclic branched covers
Stavros Garoufalidis, Andrew Kricker
Updated rerefences and introduction. Given a knot in an integer homology sphere, one can construct a family of closed 3-manifolds (parametrized by the positive integers), namely th…
The lines of the Kontsevich integral and Rozansky's rationality conjecture
Andrew Kricker
This work develops some technology for accessing the loop expansion of the Kontsevich integral of a knot. The setting is an application of the LMO invariant to certain surgery pres…
Branched cyclic covers and finite type invariants
Andrew Kricker
This work identifies a class of moves on knots which translate to -equivalences of the associated -fold branched cyclic covers, for a fixed and any (with respect to t…