Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
Predicting and understanding comprehensive drug-drug interactions via semi-nonnegative matrix factorization. [PDF]
BMC Syst Biol, 2018 Yu H +6 more
europepmc +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Nonnegative Matrix Factorization for identification of unknown number of sources emitting delayed signals. [PDF]
PLoS One, 2018 Iliev FL +3 more
europepmc +1 more source
Hierarchical community detection via rank-2 symmetric nonnegative matrix factorization. [PDF]
Comput Soc Netw, 2017 Du R, Kuang D, Drake B, Park H.
europepmc +1 more source
Adaptive Multiview Nonnegative Matrix Factorization Algorithm for Integration of Multimodal Biomedical Data. [PDF]
Cancer Inform, 2017 Ray B, Liu W, Fenyö D.
europepmc +1 more source
A Robust Manifold Graph Regularized Nonnegative Matrix Factorization Algorithm for Cancer Gene Clustering. [PDF]
Molecules, 2017 Zhu R, Liu JX, Zhang YK, Guo Y.
europepmc +1 more source
Cancer classification and pathway discovery using non-negative matrix factorization. [PDF]
J Biomed Inform, 2019 Zeng Z +5 more
europepmc +1 more source