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

→ Continue reading at Wired - Science

More from author

Related posts

Advertisment

Latest posts

Winery to open Santa Cruz Mountains redwood grove for tastings

Project manager Danielle (Dani) Fazzolari stands at the outdoor redwood bar where Wrights Station Winery will begin pouring tastings on...

Why Entrepreneurship Is Better Than Any Personal Growth Book

Opinions expressed by Entrepreneur contributors are their own. Warning: This one might sting for all you 9-to-5'ers out there pounding personal growth...

Bikers confront reporters in Uvalde – CNN Video

Most stock quote data provided by BATS. Market indices are shown in real time, except for the DJIA, which is delayed by two minutes....