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🎉 New NERDS paper on highway barriers to social ties
https://nerds.itu.dk/2025/03/05/new-nerds-paper-on-highway-barriers-to-social-ties/
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Global Fukaya category II: applications
Yasha Savelyev
https://arxiv.org/abs/2505.19362 https://arxiv.org/pdf/2505.19362

Global Fukaya category II: applications
To paraphrase, part I constructs a bundle of $A _{\infty}$ categories given the input of a Hamiltonian fibration over a smooth manifold. Here we show that this bundle is generally non-trivial by a sample computation. One principal application is differential geometric, and the other is about algebraic $K$-theory of the integers and the rationals. We find new curvature constraint phenomena for smooth and singular $\mathcal{G}$-connections on principal $\mathcal{G}$-bundles over $S ^{4}$, where $…