Transgression of the index gerbe

The Index Gerbe

Given a family of Dirac-type operators on an odd-dimensional closed manifold, we construct an abelian gerbe-with-connection whose curvature is the three-form component of the Atiyah-Singer families index theorem.

A Gerbe formulation of the Atiyah-Singer Index Theorem

The Universal Gerbe and Local Family Index Theory

The goal of this paper is to apply the universal gerbe developed in [CMi1] and [CMi2] and the local family index theorems to give a unified viewpoint on the known examples of geometrically interesting gerbes, including the determinant bundle gerbes in [CMMi1], the index gerbe in [L] for a family of Dirac operators on odd dimensional closed manifolds. We also discuss the associated gerbes for a ...

The Maslov gerbe

Let Lag(E) be the grassmannian of lagrangian subspaces of a complex symplectic vector space E. We construct a Maslov class which generates the second integral cohomology of Lag(E), and we show that its mod 2 reduction is the characteristic class of a flat gerbe with structure group Z2. We explain the relation of this gerbe to the well-known flat Maslov line bundle with structure group Z4 over t...

assessment of the park- ang damage index for performance levels of rc moment resisting frames

چکیده هدف اصلی از طراحی لرزه ای تامین ایمنی جانی در هنگام وقوع زلزله و تعمیر پذیر بودن سازه خسارت دیده، پس از وقوع زلزله است. تجربه زلزله های اخیر نشان داده است که ساختمان های طراحی شده با آیین نامه های مبتنی بر نیرو از نظر محدود نمودن خسارت وارده بر سازه دقت لازم را ندارند. این امر سبب پیدایش نسل جدید آیین نامه های مبتنی بر عملکرد شده است. در این آیین نامه ها بر اساس تغییرشکل های غیرارتجاعی ...