12 citations · 31 across the 10 of their papers we have counts for
13 papers · 1 filter
Iterated collapsing phenomenon on -manifolds
Yang Li
We propose a new collapsing mechanism for -metrics, with the generic region admitting a circle bundle structure over a K3 fibration over a Riemann surface. The adiabatic descr…
Metric SYZ conjecture and non-archimedean geometry
Yang Li
We show that assuming a conjecture in non-archimedean geometry, then a metric formulation of the SYZ conjecture can be proved in large generality.
SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family
Yang Li
We produce special Lagrangian -fibrations on the generic regions of some Calabi-Yau hypersurfaces in the Fermat family $X_s=\{ Z_0\ldots Z_{n+1}+ e^{-s} ( Z_0^{n+2}+ \ldots Z_…
Bubbling phenomenon for Hermitian Yang-Mills connections
Yang Li
We construct local examples of singular Hermitian Yang-Mills connections over with uniformly bounded -energy, but the number of essential singular po…
Mukai duality on adiabatic coassociative fibrations
Yang Li
This paper studies the formal adiabatic limit of coassociative K3 fibred torsion free manifolds fibred over a contractible base, shows how to put this structure on a differen…
Mukai duality on K3 surfaces from the differential geometric perspective
Yang Li
This paper treats the theory of Mukai duality on K3 surfaces from the differential geometric perspective, taylored to the need of the author's companion paper about Mukai duality o…