692 citations
- European Organization for Nuclear ResearchCH147 papers
- National and Kapodistrian University of AthensGR142 papers
- Joint Institute for Nuclear ResearchRU141 papers
- Panjab UniversityIN141 papers
- The Ohio State UniversityUS140 papers
- University of Tennessee at KnoxvilleUS140 papers
- Université de StrasbourgFR139 papers
- University of SplitHR139 papers
- Wayne State UniversityUS139 papers
- Benemérita Universidad Autónoma de PueblaMX138 papers
- Saha Institute of Nuclear PhysicsIN138 papers
- A. Alikhanyan National LaboratoryAM135 papers
33 papers · 1 filter
Petal grid diagrams of torus knots
Eon-Kyung Lee, Sang-Jin Lee
A petal diagram of a knot is a projection with a single multi-crossing such that there are no nested loops. The petal number of a knot is the minimum number of loops amo…
Acylindricity of the action of right-angled Artin groups on extension graphs
Eon-Kyung Lee, Sang-Jin Lee
The action of a right-angled Artin group on its extension graph is known to be acylindrical because the cardinality of the so-called -quasi-stabilizer of a pair of distant point…
Primary decomposition of knot concordance and von Neumann rho-invariants
Min Hoon Kim, Se-Goo Kim, Taehee Kim
We address the primary decomposition of the knot concordance group in terms of the solvable filtration and higher-order von Neumann -invariants by Cochran, Orr, and Teichner. We…
One-bipolar topologically slice knots and primary decomposition
Min Hoon Kim, Se-Goo Kim, Taehee Kim
Let {T_n} be the bipolar filtration of the smooth concordance group of topologically slice knots, which was introduced by Cochran, Harvey, and Horn. It is known that for each n not…
Simple embeddings of rational homology balls and antiflips
Heesang Park, Dongsoo Shin, Giancarlo Urzúa
Let be a regular neighborhood of a negative chain of -spheres (i.e. exceptional divisor of a cyclic quotient singularity), and let be a rational homology ball whic…
Rational homology balls in -handlebodies
Heesang Park, Dongsoo Shin
We prove that there are rational homology balls smoothly embedded in the -handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the…