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dg-ga1997★ 1 cited
On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture
Yuli B. Rudyak, John Oprea
We prove that the Lusternik-Schnirelmann category of a closed symplectic manifold equals the dimension provided that the symplectic cohomology class vani…
dg-ga1997
On analytical applications of stable homotopy (the Arnold conjecture, critical points)
Yuli B. Rudyak
We prove the Arnold conjecture for closed symplectic manifolds with and $\cat M=\dim M$. Furthermore, we prove an analog of the Lusternik-Schnirelmann theorem for functi…