When topology meets chemistry

Erica Flapan
Department of Mathematics, Pomona College

Abstract: Mirror image symmetry plays an important role in predicting the behavior of molecules. Recently, knots and links and other non-planar molecules have been synthesized which are large enough that they no longer have the rigidity that is characteristic of small molecules. In order to understand the symmetries of such molecules we need to understand their deformations. Topology is the area of mathematics that analyzes how geometric objects can be deformed and which properties of such an object will be preserved by deformations. In this talk we will discuss how topology can be used to help us analyze the symmetries of flexible molecules.