12 citations · 23 across the 9 of their papers we have counts for
9 papers
Algebraic Presentation of -Dimensional -Handlebodies and -Dimensional Cobordisms
Anna Beliakova, Ivelina Bobtcheva, Marco De Renzi +1
In this paper, we give a new direct proof of a result by Bobtcheva and Piergallini that provides finite algebraic presentations of two categories, denoted and $4\ma…
Algebraic presentation of the bordism category of 2-dimensional CW-complexes
Ivelina Bobtcheva
We prove that carries the structure of a unimodular cocommutative Hopf algebra in the bordism category 2CW of 2-equivalence classes of 2-dimensional CW-complexes and that 2CW…
On the algebraic characterization of the category of 3-dimensional cobordisms
Ivelina Bobtcheva
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms is equivalent to the universal algebraic category $\overline{\ov…
On four-dimensional 2-handlebodies and three-manifolds
Riccardo Piergallini, Ivelina Bobtcheva
We show that for any n > 3 there exists an equivalence functor from the category of n-fold connected simple coverings of B^3 x [0, 1] branched over ribbon surface tangles up to cer…
A universal invariant of four-dimensional 2-handlebodies and three-manifolds
Ivelina Bobtcheva, Riccardo Piergallini
This paper is the second part of our work on 4-dimensional 2-handlebodies. In the first part (arXiv:math.GT/0407032) it is shown that up to certain set of local moves, connected si…
Covering moves and Kirby calculus
Ivelina Bobtcheva, Riccardo Piergallini
We show that simple coverings of B^4 branched over ribbon surfaces up to certain local ribbon moves bijectively represent orientable 4-dimensional 2-handlebodies up to handle slidi…