منابع مشابه
The generalized Lefschetz number of homeomorphisms on punctured disks
We compute the generalized Lefschetz number of orientation-preserving selfhomeomorphisms of a compact punctured disk, using the fact that homotopy classes of these homeomorphisms can be identified with braids. This result is applied to study Nielsen-Thurston canonical homeomorphisms on a punctured disk. We determine, for a certain class of braids, the rotation number of the corresponding canoni...
متن کاملEquivariant Lefschetz Number of Differential Operators
Let G be a compact Lie group acting on a compact complex manifold M . We prove a trace density formula for the G-Lefschetz number of a differential operator on M . We generalize Engeli and Felder’s recent results to orbifolds.
متن کاملOn the Relative Dualising Sheaf of a Symplectic Lefschetz Fibration
For the dualising sheaf ωX/B of a relatively minimal symplectic Lefschetz fibration π : X → B, we show that c21(ωX/B) ≥ 0. Some consequences related to the Hodge bundle are obtained.
متن کاملRelative Cohomology with Respect to a Lefschetz Pencil
Let M be a complex projective manifold of dimension n+1 and f a meromorphic function on M obtained by a generic pencil of hyperplane sections of M . The n-th cohomology vector bundle of f0 = f |M−R, where R is the set of indeterminacy points of f , is defined on the set of regular values of f0 and we have the usual Gauss-Manin connection on it. Following Brieskorn’s methods in [Br], we extend t...
متن کاملOn Quantum Integrability and the Lefschetz Number
Certain phase space path integrals can be evaluated exactly using equivariant cohomology and localization in the canonical loop space. Here we extend this to a general class of models. We consider hamiltonians which are a priori arbitrary functions of the Cartan subalgebra generators of a Lie group which is defined on the phase space. We evaluate the corresponding path integral and find that it...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1994
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)90015-9