Gauge theoretic invariants of Dehn surgeries on knots.
Boden, Hans U., Herald, Christopher M., Kirk, Paul A., Klassen, Eric P. (2001)
Geometry & Topology
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Boden, Hans U., Herald, Christopher M., Kirk, Paul A., Klassen, Eric P. (2001)
Geometry & Topology
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Bernhelm Booss-Bavnbek, Chaofeng Zhu (2005)
Open Mathematics
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We consider a continuous curve of linear elliptic formally self-adjoint differential operators of first order with smooth coefficients over a compact Riemannian manifold with boundary together with a continuous curve of global elliptic boundary value problems. We express the spectral flow of the resulting continuous family of (unbounded) self-adjoint Fredholm operators in terms of the Maslov index of two related curves of Lagrangian spaces. One curve is given by the varying domains,...
Lim, Yuhan (2003)
Geometry & Topology
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Krzysztof Wojciechowski (1983)
Banach Center Publications
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Kirk, Paul, Lesch, Matthias (2003)
Algebraic & Geometric Topology
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David Gurarie (1992-1993)
Séminaire de théorie spectrale et géométrie
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Echi, Othman, Gargouri, Riyadh (2004)
The New York Journal of Mathematics [electronic only]
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Rumin, Michael
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Artur Avila, Sébastien Gouëzel, Jean-Christophe Yoccoz (2006)
Publications Mathématiques de l'IHÉS
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We study the dynamics of the Teichmüller flow in the moduli space of abelian differentials (and more generally, its restriction to any connected component of a stratum). We show that the (Masur-Veech) absolutely continuous invariant probability measure is exponentially mixing for the class of Hölder observables. A geometric consequence is that the action in the moduli space has a spectral gap.
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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