PIRSA:12050027

A Theorem of Existence for Asymptotically Conical Calabi-Yau Manifolds

APA

Conlon, R. (2012). A Theorem of Existence for Asymptotically Conical Calabi-Yau Manifolds. Perimeter Institute. https://pirsa.org/12050027

MLA

Conlon, Ronan. A Theorem of Existence for Asymptotically Conical Calabi-Yau Manifolds. Perimeter Institute, May. 06, 2012, https://pirsa.org/12050027

BibTex

          @misc{ pirsa_PIRSA:12050027,
            doi = {10.48660/12050027},
            url = {https://pirsa.org/12050027},
            author = {Conlon, Ronan},
            keywords = {Mathematical physics},
            language = {en},
            title = {A Theorem of Existence for Asymptotically Conical Calabi-Yau Manifolds},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050027 see, \url{https://pirsa.org}}
          }
          

Ronan Conlon McMaster University

Abstract

Asymptotically conical (AC) Calabi-Yau manifolds are Ricci-at Kahler manifolds that resemble a Ricci-at Kahler cone at infinity. I will describe an existence theorem for AC Calabi-Yau manifolds which, in particular, yields a refinement of an existence theorem of Tian and Yau for such manifolds. I will also discuss some examples. This is ongoing work with Hans-Joachim Hein.