English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider colored operads and their actions on categories. As a specialexample we construct a cobordism category with a colored operad action arisingfrom oriented planar arc diagrams. This is used to construct an invariant oforiented tangle diagrams with values in the homotopy category attached to thecobordism category. Motivated by Bar-Natan's categorification of the Jonespolynomial, it categorifies the quantum $sl_n$ quantum invariants and isadapted to the categorification of the $sl_n$ quantum invariants by Khovanovand Rozansky using matrix factorizations. We conjecture to exist theconsistency of the cobordism category and to have an explicit functor from thecobordism category to a category of matrix factorizations.

A cobordism category attached to Khovanov-Rozansky link homologies based on operads