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Lefschetz zeta function

In mathematics, the Lefschetz zeta-function is a tool used in topological periodic and fixed point theory, and dynamical systems. Given a mapping f… 
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Related topics

Related topics

4 relations
Artin–Mazur zeta functionEuler characteristicFixed point (mathematics)Iterated function

Papers overview

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2018
2018
The existence of an indecomposable minimal genus two Lefschetz fibration
It was shown by Usher that any fiber sum of Lefschetz fibrations over $S^2$ is minimal, which was conjectured by Stipsicz. We… 
2017
2017
Classification of Boundary Lefschetz Fibrations over the Disc
This chapter shows that a 4-manifold admits a boundary Lefschetz fibration over the disc if and only if it is diffeomorphic to S1… 
Review
2014
Review
2014
New algorithms for finite density QCD
Recent progress of the complex Langevin method and the Lefschetz thimble in connection with the sign problem is reviewed. These… 
2014
2014
High density QCD on a Lefschetz thimble ? New approach to the sign problem in quantum field theories
It is sometimes speculated that the sign problem that afflicts many quantum field theories might be reduced or even eliminated by… 
2012
2012
Near-symplectic 2n-manifolds
We give a generalization of the concept of near-symplectic structures to 2n dimensions. According to our definition, a closed 2… 
2012
2012
TOPIC PROPOSAL THE TOPOLOGY OF SURFACE BUNDLES
Let M be a closed oriented manifold, and let Sg denote the closed surface of genus g; unless otherwise specified, assume g ≥ 2. A… 
2010
2010
A Note On Lagrangian Vanishing Sphere Bundles
A classical way to construct a Lagrangian in a symplectic manifold $\Sigma$ is to let $\Sigma$ appear as a smooth fiber in a… 
2004
2004
Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces
We study the invariants of surfaces in 4-manifolds extracted from the Seiberg-Witten and the Ozsvath-Szabo invariants of their… 
Review
1999
Review
1999
Simple homotopy type of the Novikov complex and the Lefschetz ζ-function of a gradient flow
Contents § 1. Introduction and statement of results § 2. Morse-Novikov theory § 3. Brief survey of some results of [2] § 4… 
Review
1997
Review
1997
Simple homotopy type of the Novikov complex and Lefschetz $\zeta$-function of the gradient flow
Let f : M → S be a Morse map from a closed connected manifold to a circle. S.P.Novikov constructed an analog of the Morse complex… 
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