Proves infinitely many periodic points for asymptotically linear non-degenerate Hamiltonian diffeomorphisms on R^{2n} that are unitary at infinity, decay quickly to their linear part, and obey a twist condition.
MorsetheoryforLagrangianintersections .English
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A circle homeomorphism is Weil-Petersson if and only if the Beltrami differential of its unique quasiconformal harmonic extension is square-integrable.
An odd-dimensional Riemannian manifold admits a pure spin-c Killing spinor with real Killing constant α if and only if it is α-Sasakian.
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.
citing papers explorer
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A Poincar\'e-Birkhoff Theorem for Asymptotically Unitary Hamiltonian Diffeomorphisms
Proves infinitely many periodic points for asymptotically linear non-degenerate Hamiltonian diffeomorphisms on R^{2n} that are unitary at infinity, decay quickly to their linear part, and obey a twist condition.
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Harmonic extension of Weil-Petersson circle homeomorphisms
A circle homeomorphism is Weil-Petersson if and only if the Beltrami differential of its unique quasiconformal harmonic extension is square-integrable.
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Sasakian manifolds and spin-c Killing spinors
An odd-dimensional Riemannian manifold admits a pure spin-c Killing spinor with real Killing constant α if and only if it is α-Sasakian.
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Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.