Mahender Singh (IISER Mohali) – Bounded cohomology of quandles

Abstract - This talk focuses on the recently introduced notion of bounded cohomology for quandles. We establish sufficient criteria ensuring that the second bounded cohomology of a quandle is infinite-dimensional. As a topological application, we prove that the second bounded cohomology of the fundamental quandles of most links is infinite-dimensional. If time permits, we will further explore this cohomology for families of quandles arising on surfaces.