Geometry and cohomology of Khovanov-Springer varieties

2012/05/10 by Philip Eve, Eve, Philip, Neil Strickland +1
Mathematics · #14M15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AG #math.AT #msc:14M15

paper · pdf · doi:10.48550/arxiv.1205.2236

arxiv created 2012/05/10 · openalex publication_date 2012/05/10 · arxiv updated 2012/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Khovanov-Springer variety X(n) is a certain subvariety of the variety of flags of length 2n, which has been studied from various different points of view. We give a new proof of the ring structure of the cohomology of X(n) and relate it to some interesting geometric, combinatorial and algebraic phenomena.

Citations

• A remark on the topology of (n,n) Springer varieties

Related

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• Khovanov homology theories and their applications
• Some questions arising from the study of cohomology on flag varieties
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