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Bulletin of the American Mathematical Society

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Moduli spaces and macromolecules


Author: R. C. Penner
Journal: Bull. Amer. Math. Soc. 53 (2016), 217-268
MSC (2010): Primary 92-02, 92C40, 92C05, 30F60, 32G15, 53C05
Published electronically: February 3, 2016
MathSciNet review: 3474307
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Abstract: Techniques from moduli spaces are applied to biological macromolecules. The first main result provides new a priori constraints on protein geometry discovered empirically and confirmed computationally. The second main result identifies up to homotopy the natural moduli space of several interacting RNA molecules with the Riemann moduli space of a surface with several boundary components in each fixed genus. Applications to RNA folding prediction are discussed. The mathematical and biological frameworks are surveyed and presented from first principles.


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Additional Information

R. C. Penner
Affiliation: Institut des Hautes Études Scientifiques, Le Bois-Marie 35, route de Chartres, 91440 Bures-sur-Yvette, France; and Departments of Mathematics and Physics Theory, California Institute of Technology, Pasadena, California 91125
Email: rpenner@ihes.fr; rpenner@caltech.edu

DOI: https://doi.org/10.1090/bull/1524
Keywords: Macromolecule, protein, RNA, surface, fatgraph, graph connection
Received by editor(s): August 24, 2015
Published electronically: February 3, 2016
Article copyright: © Copyright 2016 American Mathematical Society