Presentation Title

Belted-Sum Decompositions of Fully Augmented Links

Presenter Information

Brian RansomFollow

Faculty Mentor

Rolland Trapp

Start Date

17-11-2018 12:30 PM

End Date

17-11-2018 2:30 PM

Location

CREVELING 77

Session

POSTER 2

Type of Presentation

Poster

Subject Area

physical_mathematical_sciences

Abstract

This project studied the factorization of Fully Augmented Links using the belted-sum decomposition operation - the inverse of the belted-sum operation as defined by Colin Adams. To do this, a correspondence between belted-sum decomposition in the link complement and in a fundamental region of its universal cover in Hyperbolic 3-Space was established. Judicious choice of fundamental regions in the universal cover illuminated that factorization terminates with 'prime' pieces but is not unique. Restrictions which can be placed on the factorization to restore uniqueness are currently being studied.

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Nov 17th, 12:30 PM Nov 17th, 2:30 PM

Belted-Sum Decompositions of Fully Augmented Links

CREVELING 77

This project studied the factorization of Fully Augmented Links using the belted-sum decomposition operation - the inverse of the belted-sum operation as defined by Colin Adams. To do this, a correspondence between belted-sum decomposition in the link complement and in a fundamental region of its universal cover in Hyperbolic 3-Space was established. Judicious choice of fundamental regions in the universal cover illuminated that factorization terminates with 'prime' pieces but is not unique. Restrictions which can be placed on the factorization to restore uniqueness are currently being studied.