arXiv Open Access 2004

Complex ADHM equations, sheaves on P^3 and quantum instantons

Igor Frenkel Marcos Jardim

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Abstrak

We use a complex version of the celebrated Atiyah-Hitchin-Drinfeld-Manin matrix equations to construct admissible torsion-free sheaves on $\p^3$ and complex quantum instantons over our quantum Minkowski space-time. We identify the moduli spaces of various subclasses of sheaves on $\p^3$, and prove their smoothness. We also define the Laplace equation in the quantum Minkowski space-time, study its solutions and relate them to the admissibility condition for sheaves on $\p^3$.

Topik & Kata Kunci

math.RT math.AG

Penulis (2)

Igor Frenkel

Marcos Jardim

Format Sitasi

APA MLA BibTeX

Frenkel, I., Jardim, M. (2004). Complex ADHM equations, sheaves on P^3 and quantum instantons. https://arxiv.org/abs/math/0408027

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Informasi Jurnal

Tahun Terbit: 2004
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓