Titlebook: Superschool on Derived Categories and D-branes; Edmonton, Canada, Ju Matthew Ballard,Charles Doran,Eric Sharpe Conference proceedings 2018

Corral

Semi-orthogonal Decompositions of Derived Categoriesal. We are going to see in some nice cases, they are equivalent. The theory of semi-orthogonal decompositions and exceptional collections will give you an idea how one might study the structure of derived categories: we decompose the category into smaller pieces. We hope these pieces are as simple a

Albumin

Introduction to Stability Conditionses on . [.]. In [.], Douglas defined a notion of stability for D-branes on . called .-stability. This notion of stability was meant to pick out BPS-branes on .. In [.], Bridgeland aimed to define a notion of stability directly for objects in . which would correspond to .-stability for D-branes. Brid

Statins

Birational Geometry and Derived Categorieshis is a large subject with several diverging paths, so we’ll restrict our focus to the realm of topics discussed at the Alberta superschool. Being lecture notes, the discussion here is somewhat informal, and we only attempt a general overview, and referring the reader to the relevant original resea

transdermal

babble

occult

變量

The Derived Category of Coherent Sheaves and B-model Topological String Theory an identification of the (bounde d) derived category of coherent sheaves on a Calabi–Yau threefold . with the D-brane category in B-model topological string theory. This was originally conjectured by Kontsevich [.]. We begin by briefly introducing topological closed string theory to acquaint the re

拱墻

Introduction to Topological String Theories to give a main idea of topological string theories as one of examples of mirror symmetry without any technical details. This means that some definitions are somewhat mathematically less rigorous but we rather show intuitive analyses instead. Readers should be familiar with GR, QFT, SUSY, CFT and so

生氣的邊緣

CRAFT

Abelian and Triangulated Categoriesphisms, epimorphisms, kernels and cokernels. We use this information to define additive and abelian categories, and provide several examples. We give a full definition of triangulated categories and the axioms .–.. We conclude by describing some basic results on triangulated categories, leading to a long exact sequence of morphism groups.