Morse theory and tilting sheaves

2006/04/19 by David Nadler, Nadler, David
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.math/0604428

Dedicated to R. MacPherson on the occasion of his 60th birthday

arxiv created 2006/04/19 · arxiv updated 2009/12/01

Abstract

We give a geometric construction of tilting perverse sheaves using stratified Morse theory, torus actions, and nearby cycles.

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• Tilting exercises
• Lecture notes on sheaves and perverse sheaves
• Microlocal Perverse Sheaves
• An introduction to perverse sheaves
• Perverse sheaves and the topology of algebraic varieties (2015 PCMI)