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Algebraic monodromy and obstructions to formality
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Stefan Papadima
Published/Copyright:
February 15, 2010
Abstract
Given a fibration over the circle, we relate the eigenspace decomposition of the algebraic monodromy, the homological finiteness properties of the fiber, and the formality properties of the total space. In the process, we prove a more general result about iterated group extensions. As an application, we obtain new criteria for formality of spaces, and 1-formality of groups, illustrated by bundle constructions and various examples from low-dimensional topology and singularity theory.
Received: 2009-01-07
Published Online: 2010-02-15
Published in Print: 2010-September
© de Gruyter 2010
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Articles in the same Issue
- Inhomogeneous Strichartz estimates
- Some characterizations of finite groups in which semipermutability is a transitive relation
- Fine gradings on the Lie algebra
- Harmonic analysis on a finite homogeneous space II: The Gelfand–Tsetlin decomposition
- Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L1,λ data
- Amplitude inequalities for Differential Graded modules
- Homogeneous Lagrangian submanifolds of positive Euler characteristic
- Kostant convexity for affine buildings
- Algebraic monodromy and obstructions to formality
- Capacity and potentials on curves
- New characterizations of pseudo-coherent rings
- Le module de continuité des valeurs au bord des fonctions propres et des formes automorphes
