The Ishikawa diagram for the problem of porosity cluster.

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Figure 3. Composition of two morphisms

Figure 22. Morphism (id A ⊗ c A,A ) ⊗ A (on the left) and id A ⊗ (d A ⊗...

Figure 28. Diagram T of the right trefoil with framing +1

Figure 29. Diagram H f1,...,f k k

Figure 30. Knotted diagram of the morphism h fi

Invariants for links and 3-manifolds from the modular category with two simple objects

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May 2023

Philipp Korablev

We describe the simplest non-trivial modular category $\mathfrak{E}$ with two simple objects. Then we extract from this category the invariant for non-oriented links in 3-sphere and two invariants for 3-manifolds: the complex-valued Turaev - Reshetikhin type invariant $tr_{\varepsilon}$ and the real-valued Turaev - Viro type invariant $tv_{\varepsi...