Pith. sign in

REVIEW 1 cited by

Dirichlet branes, homological mirror symmetry, and stability

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0207021 v2 pith:JFROX4T5 submitted 2002-07-02 math.AG hep-th

Michael R. Douglas (Rutgers/INI/IHES) This is my paper · ORCID
classification math.AGhep-th
keywords branescalabi-yaucategoryconjecturesderiveddirichlethomologicalmirror
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We discuss some mathematical conjectures which have come out of the Dirichlet branes in superstring theory, focusing on the case of supersymmetric branes in Calabi-Yau compactification. This has led to the formulation of a notion of stability for objects in a derived category, contact with Kontsevich's homological mirror symmetry conjecture, and "physics proofs" for many of the subsequent conjectures based on it, such as the representation of Calabi-Yau monodromy by autoequivalences of the derived category.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stability conditions on the canonical line bundle of $\mathbb{P}^3$

    math.AG 2025-01 conditional novelty 6.0 of 10

    The paper proves a Bogomolov-Gieseker type inequality for local P^3 and uses it to construct families of geometric stability conditions and boundary points of the geometric chamber.

Pith tools