Mathematicians Transcend a Geometric Theory of Motion

“[Floer] homology theory depends only on the topology of your manifold. [This] is Floer’s incredible insight,” said Agustin Moreno of the Institute for Advanced Study.

Dividing by Zero

Floer theory ended up being wildly useful in many areas of geometry and topology, including mirror symmetry and the study of knots.

“It’s the central tool in the subject,” said Manolescu.

But Floer theory did not completely resolve the Arnold conjecture because Floer’s method only worked on one type of manifold. Over the next two decades, symplectic geometers engaged in a

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