Trisections of 4-manifolds

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2019},
            month = {may},
            note = {PIRSA:19050019 see, \url{https://scivideos.org/pirsa/19050019}}
          }
          

Patrick Naylor University of Waterloo

Source Repository PIRSA
Collection

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.