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math.GT2023
Homologically trivial part of the Turaev-Viro invariant order 7
Philipp Korablev
A homologically trivial part of any Turaev-Viro invariant odd order is a Turaev-Viro type invariant order . In this paper we find an explicit formulas for this…
math.GT2023
Symmetric Dijkgraaf-Witten type invariants for 3-manifolds
Philipp Korablev
In the paper we introduce the construction of invariants for 3-manifolds, based on the same key concepts as the classical Dijkgraaf-Witten invariant. We introduce the notion of a s…
math.GT2023
Invariants for links and 3-manifolds from the modular category with two simple objects
Philipp Korablev
We describe the simplest non-trivial modular category with two simple objects. Then we extract from this category the invariant for non-oriented links in 3-sphere an…