PIRSA:19050019

Trisections of 4-manifolds

Naylor, P. (2019). Trisections of 4-manifolds. Perimeter Institute. https://pirsa.org/19050019

Naylor, Patrick. Trisections of 4-manifolds. Perimeter Institute, May. 23, 2019, https://pirsa.org/19050019 

          @misc{ pirsa_PIRSA:19050019,
            doi = {10.48660/19050019},
            url = {https://pirsa.org/19050019},
            author = {Naylor, Patrick},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Trisections of 4-manifolds},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {may},
            note = {PIRSA:19050019 see, \url{https://pirsa.org}}
          }

Patrick Naylor University of Waterloo

DOI 10.48660/19050019
Collection
Talk Type Scientific Series
Subject

Abstract

Trisections were introduced by Gay and Kirby in 2013 as a way to study 4-manifolds. They are similar in spirit to a common tool in a lower dimension: Heegaard splittings of 3-manifolds. In both cases, one understands a manifold by examining the ways that standard building blocks can be put together. They both also have the advantage of changing problems about manifolds into problems about diagrams of curves on surfaces. This talk will be a relaxed introduction to these decompositions.