Symplectic cohomology of quasihomogeneous $$cA_n$$ singularities

Abstract We compute the symplectic cohomology of Milnor fibers of isolated quasihomogeneous $$cA_n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>c</mml:mi> <mml:msub> <mml:mi>A</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> </mml:math> singularities. In addition, we use our computations to distinguish their links as contact manifolds and to provide further evidence to a conjecture of Evans and Lekili.