Krushkal V. Sticky Cantor Sets in R^d. J. Topol. Anal. 2018;10:477–482.
A subset of R^d is called ``sticky'' if it cannot be isotoped off of itself by a small ambient isotopy. Sticky wild Cantor sets are constructed in R^d for each $d\geq 4$.
Research
2018
2017
Freedman M, Krushkal V. A homotopy+ solution to the AB slice problem. Journal of Knot Theory and Its Ramifications. 2017;26(02):1740018.
2016
Freedman M, Krushkal V. Engel relations in 4-manifold topology. In: Forum of Mathematics, Sigma. Vols. 4. Cambridge University Press; 2016.
Agol I, Krushkal V. Tutte relations, TQFT, and planarity of cubic graphs. Illinois Journal of Mathematics. 2016;60(1):273–288.
2015
Krushkal V. “Slicing” the Hopf link. Geometry & Topology. 2015;19(3):1657–1683.
2014
Krushkal V, Renardy D. A polynomial invariant and duality for triangulations. Electron. J. Combin. 2014;21(3):Paper 3.42.
Freedman M, Krushkal V. Geometric complexity of embeddings in Rd. Geometric and Functional Analysis (GAFA). 2014;24(5):1406–1430.
2013
Cooper B, Krushkal V. Handle slides and localizations of categories. International Mathematics Research Notices. 2013;2013(10):2179–2202.
2012
Cooper B, Krushkal V. Categorification of the Jones-Wenzl projectors. Quantum Topology. 2012;3:139–180.
Freedman M, Krushkal V. Topological arbiters. Journal of Topology. 2012;5(1):226–247.