Alphabeta MathPositive real linear monad normal forms
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2 · Logical flowchart
3 · Items
Definition
First-order families of positive real linear monads
Lemma
Chern character and charge normalization of a linear twistor monad
Lemma
Exact holomorphic hyperplane sequences for negative twists
Lemma
Raw monad full rank and ADHM regularity
Lemma
Analytic negative-twist vanishings for the positive real monad
Lemma
Unique chain lifting and sigma-Hermitian monad duality
Lemma
Constant flat summands of positive real monads
Lemma
Positivity of the internal Hermitian form
Theorem
Positive real linear monad normal forms
Sources
- N. Brantner, Infinity-Categories and Deformation Theory, Lecture 1
- The Stacks Project, Section 33.16, Definition 33.16.1 (Tag 0B28)
- Simon K. Donaldson, The ADHM construction of Yang–Mills instantons
- Hiraku Nakajima and Kota Yoshioka, Lectures on Instanton Counting
- MIT OpenCourseWare 18.117 Topics in Several Complex Variables, Spring 2005, lecture notes prepared by Jonathan Campbell
- R. Dervan, lectures; Qiangru Kuang, notes, University of Cambridge Mathematics Tripos Part III, Complex Manifolds, Lent 2019
- Jean-Pierre Serre, Géométrie algébrique et géométrie analytique
- W. Barth and K. Hulek, Monads and Moduli of Vector Bundles
- J.-L. Verdier, Exposé VII, Astérisque 71–72