Brieskorn manifolds, positive Sasakian geometry, and contact topology
Brieskorn manifolds, positive Sasakian geometry, and contact topology
Abstract Using <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>S</m:mi> <m:mn>1</m:mn> </m:msup> </m:math> ${S^{1}}$ -equivariant symplectic homology, in particular its mean Euler characteristic, of the natural filling of links of Brieskorn–Pham polynomials, we prove the existence of infinitely many inequivalent contact structures on various manifolds, including in dimension 5 the k -fold connected sums …