75 citations · 334 across the 43 of their papers we have counts for
6 papers · 1 filter
The Strominger system in the square of a Kähler class
Tristan C. Collins, Sebastien Picard, Shing-Tung Yau
We study the Strominger system with fixed balanced class. We show that classes which are the square of a Kähler metric admit solutions to the system for vector bundles satisfying t…
Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces
Tristan C. Collins, Yu-Shen Lin
We survey the authors recent works, joint with A. Jacob, on Strominger-Yau-Zaslow mirror symmetry for rational elliptic surfaces and del Pezzo surfaces. We discuss some application…
Uniqueness of some cylindrical tangent cones to special Lagrangians
Tristan C. Collins, Yang Li
We show that if an exact special Lagrangian has a multiplicity one, cylindrical tangent cone of the form where $\mathbf{C}…
Complete Calabi-Yau metrics in the complement of two divisors
Tristan C. Collins, Yang Li
We construct new complete Calabi-Yau metrics on the complement of an anticanonical divisors in a Fano manifold of dimension at least three, when consists of two transversel…
On Upper Bounds in Dimension Gaps of CFT's
Tristan C. Collins, Daniel Jafferis, Cumrun Vafa +2
We consider CFT's arising from branes probing singularities of internal manifolds. We focus on holographic models with internal space including arbtirary Sasaki-Einstein manifolds…
Spinor flows with flux, I: short-time existence and smoothing estimates
Tristan C. Collins, Duong H. Phong
Spinor fields which are covariantly constant with respect to a connection with flux are of particular interest in unified string theories and supergravity theories, as their existe…