Quantum Physics Letters
Journal license

Journal

Quantum Physics Letters


Volume
& Issue

Volume 6, Issue 2


Published
on

August 1, 2017


Pages

91-93


DOI

Article

The Intersection Form of Four-Manifolds and Exceptional Group Symmetries

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Authors

Simon Davis* Affiliation:
Research Foundation of Southern California, 8837 Villa La Jolla Drive 13595, La Jolla, CA 92039, USA.


Abstract

The nontrivial component of the intersection form of nonsmooth four-manifolds is proportional to the Cartan matrix of E8. Since the background geometry of all elementary particle field theories is a smooth four-manifold, this intersection form will be introduced through the embedding of an infinite-genus surface with a nonsmooth structure in the neighbourhood of the ideal boundary.


Keywords

infinite-genus surface, ideal booundary, intersection form, exceptional group


Citation

Davis, S. (2017). The intersection form of four-manifolds and exceptional group symmetries. Quantum Physics Letters, 6(2), 91–93. https://doi.org/10.18576/qpl/060202

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