Volume 187, Issue 1 – January 2018

The Gopakumar-Vafa formula for symplectic manifolds

Pages 1-64 by Eleny-Nicoleta Ionel, Thomas H. Parker

A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation

Pages 65-156 by Igor Rodnianski, Jared Speck

Positivity for quantum cluster algebras

Pages 157-219 by Ben Davison

Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure

Pages 221-239 by Alexander Logunov

Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture

Pages 241-262 by Alexander Logunov

Ricci flow with surgery in higher dimensions

Pages 263-299 by Simon Brendle