Cohomology of Truncated Polynomial

نویسنده

  • DONALD YAU
چکیده

The λ-ring cohomology, H λ and H 1 λ, of certain truncated polynomial filtered λ-rings are computed.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Poisson (co)homology of truncated polynomial algebras in two variables

We study the Poisson (co)homology of the algebra of truncated polynomials in two variables viewed as the semi-classical limit of a quantum complete intersection studied by Bergh and Erdmann. We show in particular that the Poisson cohomology ring of such a Poisson algebra is isomorphic to the Hochschild cohomology ring of the corresponding quantum complete intersection.

متن کامل

The Cohomology Algebra of Certain Loop Spaces

The purpose of this paper1 is to determine the cohomology algebra of a loop space over a topological space whose cohomology algebra is a truncated polynomial algebra generated by an element of even degree. As special cases we obtain the well-known results when the base space has as cohomology algebra an exterior algebra (the base space an even dimensional sphere) or a polynomial algebra (the ba...

متن کامل

ar X iv : 0 90 6 . 47 99 v 1 [ m at h . A T ] 2 5 Ju n 20 09 BUNDLES , COHOMOLOGY AND TRUNCATED SYMMETRIC POLYNOMIALS

The cohomology of the classifying space BU(n) of the unitary groups can be identified with the the ring of symmetric polynomials on n variables by restricting to the cohomology of BT , where T ⊂ U(n) is a maximal torus. In this paper we explore the situation where BT = (CP) is replaced by a product of finite dimensional projective spaces (CP ), fitting into an associated bundle U(n)×T (S ) → (C...

متن کامل

On the real cohomology of spaces of free loops on manifolds

Let LX be the space of free loops on a simply connected manifoldX. When the real cohomology of X is a tensor product of algebras generated by a single element, we determine the algebra structure of the real cohomology of LX by using the cyclic bar complex of the de Rham complex Ω(X) of X. In consequence, the algebra generators of the real cohomology of LX can be represented by differential form...

متن کامل

Comparison Morphisms and the Hochschild Cohomology Ring of Truncated Quiver Algebras

A main contribution of this paper is the explicit construction of comparison morphisms between the standard bar resolution and Bardzell’s minimal resolution for truncated quiver algebras (TQA’s). As a direct application we describe explicitely the Yoneda product and derive several results on the structure of the cohomology ring of TQA’s. For instance, we show that the product of odd degree coho...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005