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math.DG2020★ 2 cited
The inverse function theorem for curved L-infinity spaces
Lino Amorim, Junwu Tu
In this paper we prove an inverse function theorem in derived differential geometry. More concretely, we show that a morphism of curved spaces which is a quasi-isomorphi…
math.DG2016★ 1 cited
Homotopy L-infinity spaces and Kuranishi manifolds, I: categorical structures
Junwu Tu
Motivated by the definition of homotopy spaces, we develop a new theory of Kuranishi manifolds, closely related to Joyce's recent theory. We prove that Kuranishi manifol…
math.DG2015★ 1 cited
Casson invariants via virtual counting
Junwu Tu
This is a research announcement on an alternative definition of the Casson invariants by means of virtual counting of the moduli space of irreducible representations of the fundame…