Computing trisections of 4-manifolds

Author:

Bell Mark,Hass Joel,Rubinstein Joachim Hyam,Tillmann Stephan

Abstract

We describe an algorithm to compute trisections of orientable four-manifolds using arbitrary triangulations as input. This results in explicit complexity bounds for the trisection genus of a 4-manifold in terms of the number of pentachora (4-simplices) in a triangulation.

Funder

National Science Foundation

Australian Research Council

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

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