Calabi-Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses, Toronto, Canada, July 1 -- December 31, 2013

DOI10.1007/978-1-4939-2830-9zbMath1329.14008arXiv1412.8180OpenAlexW3102267180MaRDI QIDQ2348253

Callum Quigley

Publication date: 11 June 2015

Published in: Fields Institute Monographs, Calabi-Yau Varieties: Arithmetic, Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8180

zbMATH Keywords

mirror symmetrymoduli spacesVirasoro algebramathematical physicsCalabi-Yau

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Virasoro and related algebras (17B68) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (2)

Superconformal algebras for twisted connected sums and \(G_2\) mirror symmetry ⋮ \(\mathcal{SW}\left(\frac{3}{2},2\right)\) subsymmetry in \(\mathrm{G}_2\), Spin(7) and \(\mathcal{N} = 2\) CFTs

Cites Work

• Recent developments in (0,2) mirror symmetry
• Generalized complex geometry
• Conformal field theory
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Infinite conformal symmetry in two-dimensional quantum field theory
• Topological sigma models
• Mirror principle. I
• Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory
• Mirror principle. II
• Mirror principle. III
• Mirror symmetry is \(T\)-duality
• Phases of \(N=2\) theories in two dimensions
• Representation Theory of the Virasoro Algebra
• String Theory and M-Theory
• String Theory
• A mirror theorem for toric complete intersections
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On Calabi-Yau Complete Intersections in Toric Varieties
• Homological Algebra of Mirror Symmetry
• Equivariant Gromov - Witten Invariants
• Mirror Symmetry and the Strominger-Yau-Zaslow conjecture
• Calabi-Yau manifolds in weighted \({\mathbb{P}}_4\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Calabi-Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses, Toronto, Canada, July 1 -- December 31, 2013