Knot homology via derived categories of coherent sheaves II, slm case

• 成果类型: Article
• 署名作者: Cautis, Sabin; Kamnitzer, Joel
• 署名单位: Rice University; University of California System; University of California Berkeley
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-008-0138-6
• 发表日期: 2008
• 页码: 165-232
• 关键词: mckay correspondence; symplectic-geometry; link homology; EQUIVALENCE; VARIETIES; rings

摘要

Using derived categories of equivariant coherent sheaves we construct a knot homology theory which categorifies the quantum sl(m) knot polynomial. Our knot homology naturally satisfies the categorified MOY relations and is conjecturally isomorphic to Khovanov-Rozansky homology. Our construction is motivated by the geometric Satake correspondence and is related to Manolescu's by homological mirror symmetry.