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View article: Fredholm theory for elliptic operators on quasi‐asymptotically conical spaces
Fredholm theory for elliptic operators on quasi‐asymptotically conical spaces Open
We consider the mapping properties of generalized Laplace-type operators ${\mathcal L} = \nabla^* \nabla + {\mathcal R}$ on the class of quasi-asymptotically conical (QAC) spaces, which provide a Riemannian generalization of the QALE manif…
View article: Diversity of emergent dynamics in competitive threshold-linear networks
Diversity of emergent dynamics in competitive threshold-linear networks Open
Threshold-linear networks consist of simple units interacting in the presence of a threshold nonlinearity. Competitive threshold-linear networks have long been known to exhibit multistability, where the activity of the network settles into…
View article: Diversity of emergent dynamics in competitive threshold-linear networks: a preliminary report
Diversity of emergent dynamics in competitive threshold-linear networks: a preliminary report Open
Threshold-linear networks consist of simple units interacting in the presence of a threshold nonlinearity. Competitive threshold-linear networks have long been known to exhibit multistability, where the activity of the network settles into…
View article: Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three
Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three Open
For G a finite subgroup of SL(3,C) acting freely on C³∖{0} a crepant resolution of the Calabi-Yau orbifold C³/G always exists and has the geometry of an ALE non-compact manifold. We show that the tautological bundles on these crepant resol…