Daniel E. Platt

activity

20202026

most citedGroup invariant machine learning by fundamental domain projections

2 citations · 3 across the 7 of their papers we have counts for

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Showing 2022 · math.DGShow all

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math.DG2022

$G_{2}$ -instantons on resolutions of $G_{2}$ -orbifolds

Daniel Platt

We explain a construction of $G_{2}$ -instantons on manifolds obtained by resolving $G_{2}$ -orbifolds. This includes the case of $G_{2}$ -instantons on resolutions of $T^{7} /Γ$ as a special…

math.DG2022

Associative submanifolds in Joyce's generalised Kummer constructions

Shubham Dwivedi, Daniel Platt, Thomas Walpuski

This article constructs examples of associative submanifolds in $G_{2}$ -manifolds obtained by resolving $G_{2}$ -orbifolds using Joyce's generalised Kummer construction. As the $G_{2}$ -ma…

G2​-instantons on resolutions of G2​-orbifolds

Associative submanifolds in Joyce's generalised Kummer constructions

$G_{2}$ -instantons on resolutions of $G_{2}$ -orbifolds