Knot theory in relation with molecular knots

Concept of chirality

Math

Nonplanar molecules (catanane)

Trefoil

stereochemical topology

Application on daily basis

Spatial arranging of atoms

Physical properties

Stereoisomers

Homeomorphism

Ambient Homeomorphism

Graphs and vertex

Relating knots in a graph

Investigation

Molecular Graph (Chemical Chirality theorem)

Reflection-rotation operation: Sn = σ · Cn

Group theory

Ambient isotopic

Topology

Link polynomials

Manifolds

Graphs and functions:

Graph with chirality, relation between time and energy

Graph deformations ( translations, reflecting, shifting and stretching)

Define what is it

Neighboring spaces

Chemistry

Orbitals, (s,p,d,x,z) spaces

Define Knot

How to define chirality

Determining molecular chirality with knot theory

Molecular Graphs

Topological chirality

Molecular simmetry

Möbius ladders

Euclidean space

Geometry