74 citations · 372 across the 42 of their papers we have counts for
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math.DG2004★ 13 cited
Deformation Theory of Asymptotically Conical Coassociative 4-folds
Jason Lotay
We study coassociative 4-folds N in R^7 which are asymptotically conical to a cone C with rate lambda<1. If lambda is in the interval [-2,1) and generic, we show that the moduli sp…
math.DG2004★ 13 cited
2-Ruled Calibrated 4-folds in R^7 and R^8
Jason Lotay
In this paper we introduce the area of 2-ruled 4-folds in R^n (n=7 or 8), that is, submanifolds M of R^n that admit a fibration over some 2-fold Sigma such that each fibre is an af…
math.DG2004★ 1 cited
Constructing Associative 3-folds by Evolution Equations
Jason Lotay
This paper gives two methods for constructing associative 3-folds in R^7, based around the fundamental idea of evolution equations, and uses these methods to construct examples of…