67 citations · 528 across the 47 of their papers we have counts for
55 papers
Reconstruction of vertex algebras in even higher dimensions
Bojko N. Bakalov, Nikolay M. Nikolov
Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any vertex algebra in dimension D admits a restriction to a vert…
Constructing uncountably many groups with the same profinite completion
Nikolay Nikolov, Dan Segal
We present two uncountable families of finitely generated residually finite groups all having the same profinite completion. One consists of soluble groups, the other of branch gro…
Torsion growth in finitely presented pro- groups
Nikolay Nikolov
We prove that torsion in the abelianizations of open normal subgroups in finitely presented pro- groups can grow arbitrarily fast. By way of contrast in - analytic…
On profinite groups with positive rank gradient
Nikolay Nikolov
We prove that a profinite group with positive rank gradient does not satisfy a group law. In the case when is a pro- group we show that contains a nonabelian dense f…
Semi-Differential Operators and the Algebra of Operator Product Expansion of Quantum Fields
Nikolay M. Nikolov
We introduce a symmetric operad whose algebras are the Operator Product Expansion (OPE) Algebras of quantum fields. There is a natural classical limit for the algebras over this op…
2D problems in groups
Aditi Kar, Nikolay Nikolov
We investigate a conjecture about stabilisation of deficiency in finite index subgroups and relate it to the D2 Problem of C.T.C. Wall and the Relation Gap problem. We verify the p…