Advanced search    

Search: authors:"Jason D. Lotay"

2 papers found.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

SU(2) \(^2\) -invariant \(G_2\) -instantons

We initiate the systematic study of \(G_2\)-instantons with SU(2)\(^2\)-symmetry. As well as developing foundational theory, we give existence, non-existence and classification results for these instantons. We particularly focus on \(\mathbb {R}^4\times S^3\) with its two explicitly known distinct holonomy \(G_2\) metrics, which have different volume growths at infinity...

Laplacian flow for closed G2 structures: Shi-type estimates, uniqueness and compactness

LAPLACIAN FLOW FOR CLOSED G2 STRUCTURES: SHI-TYPE ESTIMATES, UNIQUENESS AND COMPACTNESS Jason D. Lotay Yong Wei We develop foundational theory for the Laplacian flow for closed G2 structures which ... singularity of Ka¨hler-Ricci flow , Michigan Math. J . 59 ( 2010 ), 419 - 433 . Jason D. Lotay and Yong Wei Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK