D-branes on Calabi-Yau manifolds

PS Aspinwall - arXiv preprint hep-th/0403166, 2004 - arxiv.org
In this review we study BPS D-branes on Calabi-Yau threefolds. Such D-branes naturally
divide into two sets called A-branes and B-branes which are most easily understood from …

On cluster theory and quantum dilogarithm identities

B Keller - Representations of algebras and related topics, 2011 - books.google.com
The links between the theory of cluster algebras [19],[20],[6],[22] and functional identities for
the Rogers dilogarithm first became apparent through Fomin-Zelevinsky's proof [21] of …

Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives

K Bönisch, C Duhr, F Fischbach, A Klemm… - Journal of High Energy …, 2022 - Springer
A bstract We provide a comprehensive summary of concepts from Calabi-Yau motives
relevant to the computation of multi-loop Feynman integrals. From this we derive several …

[图书][B] Fourier-Mukai transforms in algebraic geometry

D Huybrechts - 2006 - books.google.com
This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading
researcher and expositor is based on a course given at the Institut de Mathematiques de …

[图书][B] Mirror symmetry

K Hori - 2003 - books.google.com
This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …

[图书][B] Fukaya categories and Picard-Lefschetz theory

P Seidel - 2008 - books.google.com
The central objects in the book are Lagrangian submanifolds and their invariants, such as
Floer homology and its multiplicative structures, which together constitute the Fukaya …

Analytic structure of all loop banana integrals

K Bönisch, F Fischbach, A Klemm, C Nega… - Journal of High Energy …, 2021 - Springer
A bstract Using the Gelfand-Kapranov-Zelevinskĭ system for the primitive cohomology of an
infinite series of complete intersection Calabi-Yau manifolds, whose dimension is the loop …

MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations

A Bayer, E Macrì - Inventiones mathematicae, 2014 - Springer
We use wall-crossing with respect to Bridgeland stability conditions to systematically study
the birational geometry of a moduli space MM of stable sheaves on a K3 surface XX:(a) We …

Stability conditions on surfaces

T Bridgeland - 2008 - projecteuclid.org
STABILITY CONDITIONS ON K3 SURFACES Page 1 STABILITY CONDITIONS ON K3
SURFACES TOM BRIDGELAND Abstract This article contains a description of one …

Mutation in triangulated categories and rigid Cohen–Macaulay modules

O Iyama, Y Yoshino - Inventiones mathematicae, 2008 - Springer
Mutation in triangulated categories and rigid Cohen–Macaulay modules Page 1 DOI:
10.1007/s00222-007-0096-4 Invent. math. 172, 117–168 (2008) Mutation in triangulated …