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Displaying 61 – 80 of 122

Finiteness theorems on Blow-Nash triviality for real algebraic singularities

Satoshi Koike (2004)

Banach Center Publications

Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant

Victor Goryunov, Jonathan Hill (1999)

Banach Center Publications

We consider a contractible closure of the space of Legendrian knots in the standard contact 3-space. We show that in this context the space of finite-type complex-valued invariants of Legendrian knots is isomorphic to that of framed knots in $R^{3}$ with an extra order 1 generator (Maslov index) added.

Finitude homotopique et isotopique des structures de contact tendues

Vincent Colin, Emmanuel Giroux, Ko Honda (2009)

Publications Mathématiques de l'IHÉS

Soit V une variété close de dimension 3. Dans cet article, on montre que les classes dhomotopie de champs de plans sur V qui contiennent des structures de contact tendues sont en nombre fini et que, si V est atoroïdale, les classes disotopie des structures de contact tendues sur V sont elles aussi en nombre fini.

Five-dimensional biquotients.

Pavlov, A.V. (2004)

Sibirskij Matematicheskij Zhurnal

Fixed point data of finite groups acting on 3-manifolds.

Frenkel, Péter E. (2003)

Algebraic & Geometric Topology

Fixed point free equivariant homotopy classes

Dariusz Wilczyński (1984)

Fundamenta Mathematicae

Fixed point free low dimensional real algebraic actions of A5 on contractible varieties.

Mikiya Masuda, K.-H. Dovermann (1990)

Commentarii mathematici Helvetici

Fixed point indices and manifolds with collars.

Benjamin, Chen-Farng, Gottlieb, Daniel Henry (2006)

Fixed Point Theory and Applications [electronic only]

Fixed point theory and the K-theoretic trace

Ross Geoghegan, Andrew Nicas (1999)

Banach Center Publications

The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus $K_{0}$ ) and 1-parameter fixed point theory (versus $K_{1}$ ). In particular, various zeta functions associated with suspension flows are shown to come in a natural way as “traces” of “torsions” of Whitehead and Reidemeister type.

Fixed points of discrete nilpotent group actions on $S^{2}$

Suely Druck, Fuquan Fang, Sebastião Firmo (2002)

Annales de l’institut Fourier

We prove that for each integer $k \geq 2$ there is an open neighborhood $𝒱_{k}$ of the identity map of the 2-sphere $S^{2}$ , in $C^{1}$ topology such that: if $G$ is a nilpotent subgroup of ${Diff}^{1} (S^{2})$ with length $k$ of nilpotency, generated by elements in $𝒱_{k}$ , then the natural $G$ -action on $S^{2}$ has nonempty fixed point set. Moreover, the $G$ -action has at least two fixed points if the action has a finite nontrivial orbit.