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20172023
most citedSYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family

12 citations · 51 across the 25 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.DG2019★ 12 cited

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_…

math.DG2019★ 1 cited

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…

math.DG2019★ 2 cited

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…

math.DG2019★ 1 cited

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…

math.DG2019

A note on singular Hermitian Yang-Mills connections

Yang Li

We give an example of a homogeneous reflexive sheaf over which admits a non-conical Hermitian Yang-Mills connection. This is expected to model bubbling phenomenon al…

math.DG2019★ 4 cited

SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics

Yang Li

We construct a family of Calabi-Yau metrics on $\C^3$ with properties analogous to the Taub-NUT metric on $\C^2$, and construct a family of Calabi-Yau 3-fold metric models on the p…