1 citations · 2 across the 6 of their papers we have counts for
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Smallest non-cyclic quotients of braid and mapping class groups
Sudipta Kolay
We show that the smallest non-cyclic quotients of braid groups are symmetric groups, proving a conjecture of Margalit. Moreover we recover results of Artin and Lin about the classi…
Smallest nontrivial quotients of the commutator subgroup of braid groups
Sudipta Kolay
We prove that the smallest non-trivial quotients of the commutator subgroups of the braid groups are the alternating groups, proving a conjecture of Chudnovsky-Kordek-Li-Partin. Fu…
Lifting Branched Covers to Braided Embeddings
Sudipta Kolay
Braided embeddings are embeddings to a product disc bundle so the projection to the first factor is a branched cover. In this paper, we study which branched covers lift to braided…
Knot Colorings: Coloring and Goeritz matrices
Sudipta Kolay
Knot colorings are one of the simplest ways to distinguish knots, dating back to Reidemeister, and popularized by Fox. In this mostly expository article, we discuss knot invariants…
Subgroups of the mapping class group of the torus generated by powers of Dehn twists
Sudipta Kolay
We study subgroups of the mapping class group of the torus generated by powers generated by powers of Dehn twists. We give a criterion to show when a collection of powers Dehn twis…
Piecewise linear generalized Alexander's theorem in dimension at most 5
Sudipta Kolay
We study piecewise linear co-dimension two embeddings of closed oriented manifolds in Euclidean space, and show that any such embedding can always be isotoped to be a closed braid…