Results 21 to 30 of about 409 (133)
Algebraic invariants of links and 3-manifolds [PDF]
The goal of this thesis is to describe certain algebraic invariants of links, and try to modify them to obtain invariants of 3-manifolds. Racks and quandles are algebraic structures that were invented to give invariants of knots and links.
Ødegaard, Reidun P
core +1 more source
Invariants of knots and 3-manifolds from quantum groupoids
We use the categories of representations of finite-dimensional quantum groupoids (weak Hopf algebras) to construct ribbon and modular categories that give rise to invariants of knots and 3 ...
Turaev, Vladimir +2 more
core +1 more source
On concordances in 3-manifolds [PDF]
We describe an action of the concordance group of knots in the three-sphere on concordances of knots in arbitrary 3-manifolds. As an application we define the notion of almost-concordance between knots. After some basic results, we prove the existence of
Daniele Celoria
core +1 more source
Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
A Programmable Braided Silk‐Glass Fiber Ligament Promoting Rapid Motoric Recovery
A scalable three‐dimensional braiding strategy integrates silk and glass fibers into customizable artificial ligaments with programmable “J‐shaped” nonlinear mechanics. The silk‐rich architecture supports osseoligamentous integration, while glass fibers provide mechanical reinforcement and biomimetic mineralization cues, enabling strain‐adaptive load ...
Changbo Lu +16 more
wiley +1 more source
An large language model‐powered multimodal framework is developed for robotic endoscope control. It integrates speech recognition and real‐time instrument tracking, achieving 89.47% command accuracy with ~1s latency for natural human–robot interaction in minimally invasive surgery.
Yisen Huang +7 more
wiley +1 more source
ABSTRACT Transformative change is required to address persistent and systemic drivers of biodiversity loss. There is an urgent need for innovative solutions that tackle root causes in place‐specific contexts. Evidence indicates that small, innovative, purpose‐driven businesses can serve as vehicles for developing place‐based solutions.
Shova Thapa Karki, Bradley D. Parrish
wiley +1 more source
This work fabricated MOF‐based woven absorbing fabrics with dimensional engineering via a wet spinning strategy. The absorbing fabrics achieve a reflection loss of −51.47 dB at 2.9 mm, with an effective absorption bandwidth reaching 3.54 GHz. The absorbing fabrics can be freely bent, stretched, and folded, with individual fibers exhibiting a break ...
Zihao Yan +6 more
wiley +1 more source
Naturality in sutured monopole and instanton homology [PDF]
In “Knots, sutures, and excision” (J. Differential Geom. 84, 301–364), Kronheimer and Mrowka defined invariants of balanced sutured manifolds using monopole and instanton Floer homology.
John A. Baldwin +3 more
core +1 more source
ABSTRACT Global leadership in phasing out fossil fuels is an important new frontier in climate governance, yet remains undertheorised within existing scholarly accounts of climate leadership. In this paper, we argue that ‘phaseout leadership’—climate leadership centred on curtailing fossil fuel supply—is a distinct kind of leadership that dominant ...
Freddie Daley +2 more
wiley +1 more source

