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Extensions in Jacobian algebras via punctured skein relations

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CARW03 - Interdisciplinary applications of cluster algebras

Given a Jacobian algebra arising from the punctured disk, we stablish a correspondeence between non-split extensions and taged arc smothings. This corresponds to what we call a punctured skein relation. Our geometric interpretation can be used to find non-split extensions over other Jacobian algebras arising form surfaces with punctures. Joint work with Salomon Dominguez – Universidad Anahuac (Mx)

This talk is part of the Isaac Newton Institute Seminar Series series.

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