نتایج جستجو برای: equivariant index

تعداد نتایج: 400485  

2010
RICHARD MELROSE

In this talk I describe the resolution to unique isotropy type of the smooth action of a compact Lie group as contained in joint work with Pierre Albin, [2], [3]. The resulting ‘resolution tower’ leads to resolved and reduced models for equivariant cohomology, including the delocalized cohomology of Baum, Brylinski and MacPherson, and K-theory. Combining these constructions with a lifting map g...

2006
Yong Wang

In [Wu], the noncommutative Atiyah-Patodi-Singer index theorem was proved. In this paper, we extend this theorem to the equivariant case.

2009
Sean Fitzpatrick

Suppose that (M,E) is a compact contact manifold, and that a compact Lie group G acts on M transverse to the contact distribution E. In [14], we defined a G-transversally elliptic Dirac operator Db / , constructed using a Hermitian metric h and connection ∇ on the symplectic vector bundle E → M , whose equivariant index is well-defined as a generalized function on G, and gave a formula for its ...

Journal: :Journal of Nonlinear Mathematical Physics 2021

In this paper, we prove a local equivariant index theorem for sub-signature operators which generalizes the Zhang's operators.

2001
VICTOR NISTOR

We define the gauge-equivariant index of a family of elliptic operators invariant with respect to the free action of a family G → B of Lie groups (these families are called “gauge-invariant families” in what follows). If the fibers of G → B are simply-connected and solvable, we compute the Chern character of the gauge-equivariant index, the result being given by an AtiyahSinger type formula tha...

Journal: :Topological Methods in Nonlinear Analysis 1996

Journal: :Communications in Mathematical Physics 1985

Journal: :Annales Polonici Mathematici 1991

Journal: :Journal of Geometry and Physics 2020

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