Involutive Khovanov homology and equivariant knots

For strongly invertible knots, we define an involutive version of Khovanov homology, and from it derive a pair of integer-valued invariants .s;x s/, which is an equivariant version of Rasmussen's s-invariant.Using these invariants, we reprove that the infinite family of knots J n introduced by Hayden each admits exotic pairs of slice disks.Our construction is intended to give a Khovanov-theoretic analogue of the formalism given by Dai, Mallick and Stoffregen in involutive knot Floer theory.57K18 1. Introduction 5059 2. Involutive Khovanov homology 5064 3. Equivariant Rasmussen invariants 5076 4. Properties of the equivariant invariants 5085 5.The main theorem 5101 6.On 2-periodic links 5103 Appendix.Computations for small prime knots 5105