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Home » FHT Program Seminar: Concordance Invariants from Equivariant Singular Instanton Theory

Seminar

FHT Program Seminar: Concordance Invariants from Equivariant Singular Instanton Theory September 22, 2022 (02:15 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Masaki Taniguchi (The Institute of Physical and Chemical Research (RIKEN))
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To participate in this seminar, please register HERE.

We introduce a new framework to obtain concordance invariants from equivariant singular instanton theory. As a special case, our invariant recovers Kronheimer-Mrowka's s^# invariant. Moreover, our new description of s^# enables us to show the quasi-additivity of s^#, answering a question of Gong.

As a topological application, we produce a wide class of patterns whose induced satellite maps on the concordance group generate infinite rank, giving a partial answer to a conjecture of Hedden and Pinzón-Caicedo.

This is joint work with Aliakbar Daemi, Hayato Imori, Kouki Sato and Christopher Scaduto.

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