|Location:||MSRI: Simons Auditorium, Online/Virtual|
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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.No Notes/Supplements Uploaded No Video Files Uploaded