The deformed Hermitian–Yang–Mills equation on the blowup of $\mathbb{P}^n$
Adam Jacob, Norman Sheu
Abstract
We study the deformed Hermitian-Yang-Mills equation on the blowup of complex projective space. Using symmetry, we express the equation as an ODE which can be solved using combinatorial methods if an algebraic stability condition is satisfied. This gives evidence towards a conjecture of the first author, T.C. Collins, and S.-T. Yau on general compact Kahler manifolds.
Topics & Concepts
Hermitian matrixMathematicsMathematical physicsYang–Mills existence and mass gapPure mathematicsMathematical analysisGauge theoryGeometry and complex manifoldsAlgebraic Geometry and Number TheoryNonlinear Waves and Solitons