Recent Progress in Compact G2 Manifolds

          @misc{ scivideos_PIRSA:12050028,
            doi = {10.48660/12050028},
            url = {https://pirsa.org/12050028},
            author = {Haskins, Mark},
            keywords = {},
            language = {en},
            title = {Recent Progress in Compact G2 Manifolds},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2012},
            month = {may},
            note = {PIRSA:12050028 see, \url{https://scivideos.org/index.php/pirsa/12050028}}
          }
          

Abstract

This talk will give a survey of some recent developments on the construction and classification of compact manifolds with holonomy G2 and their calibrated submanifolds. After reviewing previous work we concentrate on the following three developments: (a) the construction of many new compact G2 manifolds using weak Fano 3-folds; (b) the construction of many compact G2 manifolds containing rigid associative 3-folds; (c) the diffeomorphism classification of (2-connected) G2 manifolds obtained by twisted connect sums. If time permits we will mention new questions
suggested by our results. This work is joint with Alessio Corti, Johannes Nordstrom, and Tommaso Pacini.