Watson-Crick pairing, the Heisenberg group and Milnor invariants

Simple item page
dc.creatorGadgil, Siddhartha
dc.date2008-09-18
dc.date.accessioned2026-07-07T10:03:43Z
dc.date.available2026-07-07T10:03:43Z
dc.descriptionWe study the secondary structure of RNA determined by Watson-Crick pairing without pseudo-knots using Milnor invariants of links. We focus on the first non-trivial invariant, which we call the Heisenberg invariant. The Heisenberg invariant, which is an integer, can be interpreted in terms of the Heisenberg group as well as in terms of lattice paths. We show that the Heisenberg invariant gives a lower bound on the number of unpaired bases in an RNA secondary structure. We also show that the Heisenberg invariant can predict \emph{allosteric structures} for RNA. Namely, if the Heisenberg invariant is large, then there are widely separated local maxima (i.e., allosteric structures) for the number of Watson-Crick pairs found.
dc.description18 pages; to appear in Journal of Mathematical Biology
dc.identifierhttps://arxiv.org/abs/0809.3110
dc.identifierhttp://arxiv.org/abs/0809.3110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169393
dc.subjectBiomolecules
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleWatson-Crick pairing, the Heisenberg group and Milnor invariants
dc.typetext

Files

Collections

arXiv