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20002024
most citedFour-dimensional wall-crossing via three-dimensional field theory

471 citations · 2.6k across the 56 of their papers we have counts for

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math.DG2022★ 1 cited

3d spectral networks and classical Chern-Simons theory

Daniel S. Freed, Andrew Neitzke

We define the notion of spectral network on manifolds of dimension . For a manifold equipped with a spectral network, we construct equivalences between Chern-Simons inva…

math.DG2018★ 12 cited

Asymptotics of Hitchin's metric on the Hitchin section

David Dumas, Andrew Neitzke

We consider Hitchin's hyperkähler metric on the moduli space of degree zero -Higgs bundles over a compact Riemann surface. It has been conjectured…

math.DG2017★ 11 cited

From -fixed points to -algebra representations

Laura Fredrickson, Andrew Neitzke

We study a set parameterizing filtered -Higgs bundles over with an irregular singularity at , such that the eigenvalues of th…

math.DG2017

Integral iterations for harmonic maps

Andrew Neitzke

We study minimal harmonic maps , parameterized by polynomial cubic differentials in the plane. The asymptotic structure…

math.DG2016★ 15 cited

Opers versus nonabelian Hodge

Olivia Dumitrescu, Laura Fredrickson, Georgios Kydonakis +3

For a complex simple simply connected Lie group , and a compact Riemann surface , we consider two sorts of families of flat -connections over . Each family is determine…

math.DG2013

Notes on a new construction of hyperkahler metrics

Andrew Neitzke

We review a construction of hyperkahler metrics proposed in joint work of Davide Gaiotto, Greg Moore and the author. A key ingredient in this construction is a collection of intege…