Topological nature of the liquid–liquid phase transition in tetrahedral liquids

A Neophytou, D Chakrabarti, F Sciortino - Nature Physics, 2022 - nature.com
The first-order phase transition between two tetrahedral networks of different density—
introduced as a hypothesis to account for the anomalous behaviour of certain …

[BOG][B] Knots and physics

LH Kauffman - 2001 - books.google.com
This invaluable book is an introduction to knot and link invariants as generalised amplitudes
for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical …

Lemniscular carbon nanohoops with contiguous conjugation from planar chiral [2.2] paracyclophane: influence of the regioselective synthesis on topological chirality

J He, MH Yu, Z Lian, YQ Fan, SZ Guo, XN Li… - Chemical …, 2023 - pubs.rsc.org
We report herein the regioselective synthesis of all-carbon lemniscular nanohoops bis-po-
CC and bis-pm-TC by the rational control of ring closures at the different positions of planar …

[BOG][B] Knots

G Burde, H Zieschang - 2002 - degruyter.com
Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

[BOG][B] When topology meets chemistry: a topological look at molecular chirality

E Flapan - 2000 - books.google.com
The applications of topological techniques for understanding molecular structures have
become increasingly important over the past thirty years. In this topology text, the reader will …

Interactive topological drawing

RG Scharein - 1998 - open.library.ubc.ca
The research presented here examines topological drawing, a new mode of constructing
and interacting with mathematical objects in three-dimensional space. In topological …

Topological models for open-knotted protein chains using the concepts of knotoids and bonded knotoids

D Goundaroulis, N Gügümcü, S Lambropoulou… - Polymers, 2017 - mdpi.com
In this paper we introduce a method that offers a detailed overview of the entanglement of an
open protein chain. Further, we present a purely topological model for classifying open …

Link polynomials and a graphical calculus

LH Kauffman, P Vogel - Journal of knot theory and its Ramifications, 1992 - World Scientific
Department of Mathematics, Statistics, and Computer Science Page 1 Journal of Knot Theory
and Its Ramifications, Vol. 1 No. 1 (1992) 59-104 @ World Scientific Publishing Company LINK …

Evolution method and “differential hierarchy” of colored knot polynomials

A Mironov, A Morozov, A Morozov - AIP Conference Proceedings, 2013 - pubs.aip.org
We consider braids with repeating patterns inside arbitrary knots which provides a multi-
parametric family of knots, depending on the “evolution” parameter, which controls the …

Mitochondrial networks through the lens of mathematics

GR Lewis, WF Marshall - Physical biology, 2023 - iopscience.iop.org
Mitochondria serve a wide range of functions within cells, most notably via their production
of ATP. Although their morphology is commonly described as bean-like, mitochondria often …