Flat vector bundles and analytic torsion forms

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Eta-invariants, torsion forms and flat vector bundles

We present a new proof, as well as a C/Q extension, of the RiemannRoch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the computations of the adiabatic limits of ηinvariants associated to the so-called sub-signature operators. We further show that the Bismut-Lott analytic torsion form can be derived naturally from the transgression of the η-forms appea...

متن کامل

Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections

The work of Ray and Singer which introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in both settings. The couplings are extended in a direct way in the topological setting to general flat bundles and in the holomorphic setting to bundles with (1,1) connections, which using the Newlander-Nirenberg Theorem...

متن کامل

η-invariant and flat vector bundles II

We first apply the method and results in the previous paper to give a new proof of a result (hold in C/Z) of Gilkey on the variation of ηinvariants associated to non self-adjoint Dirac type operators. We then give an explicit local expression of certain η-invariant appearing in recent papers of Braverman-Kappeler on what they call refined analytic torsion, and propose an alternate formulation o...

متن کامل

Complex Vector Bundles and Jacobi Forms

The elliptic genus (EG) of a compact complex manifold was introduced as a holomorphic Euler characteristic of some formal power series with vector bundle coefficients. EG is an automorphic form in two variables only if the manifold is a Calabi–Yau manifold. In physics such a function appears as the partition function of N = 2 superconformal field theories. In these notes we define the modified ...

متن کامل

Vector Bundles over Analytic Character Varieties

Let Qp ⊆ L ⊆ K ⊆ Cp be a chain of complete intermediate fields where Qp ⊆ L is finite and K discretely valued. Let Z be a one dimensional finitely generated abelian locally L-analytic group and let ẐK be its rigid Kanalytic character group. Generalizing work of Lazard we compute the Picard group and the Grothendieck group of ẐK . If Z = o, the integers in L 6= Qp, we find Pic(ôK) = Zp which ans...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Séminaire de théorie spectrale et géométrie

سال: 2001

ISSN: 2118-9242

DOI: 10.5802/tsg.316