A. Swann

activity

19982023

most citedCohomogeneity-one G2-structures

55 citations · 339 across the 38 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DG2018

Toric geometry of Spin(7)-manifolds

Thomas Bruun Madsen, Andrew Swann

We study $Spin (7)$ -manifolds with an effective multi-Hamiltonian action of a four-torus. On an open dense set, we provide a Gibbons-Hawking type ansatz that describes such…

math.DG2018★ 7 cited

Nearly Kähler six-manifolds with two-torus symmetry

Giovanni Russo, Andrew Swann

We consider nearly Kähler 6-manifolds with effective 2-torus symmetry. The multi-moment map for the $T^{2}$ -action becomes an eigenfunction of the Laplace operator. At regular values…

math.DG2018★ 8 cited

Toric geometry of $G_{2}$ -manifolds

Thomas Bruun Madsen, Andrew Swann

We consider $G_{2}$ -manifolds with an effective torus action that is multi-Hamiltonian for one or more of the defining forms. The case of $T^{3}$ -actions is found to be distinguished.…

Toric geometry of Spin(7)-manifolds

Nearly Kähler six-manifolds with two-torus symmetry

Toric geometry of G2​-manifolds

Toric geometry of $G_{2}$ -manifolds