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We give a short introduction to the contact invariant in bordered Floerhomology defined by F\"oldv\'ari, Hendricks, and the authors. The constructionrelies on a special class of foliated open books. We discuss a procedure toobtain such a foliated open book and present a definition of the contactinvariant. We also provide a "local proof", through an explicit borderedcomputation, of the vanishing of the contact invariant for overtwistedstructures.

A friendly introduction to the bordered contact invariant