Stiefel-whitney Classes for Coherent Real Analytic Sheaves

نویسنده

  • WOJCIECH KUCHARZ
چکیده

We develop Stiefel-Whitney classes for coherent real analytic sheaves and investigate their applications to analytic cycles on real analytic manifolds.

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

Chern Classes in Deligne Cohomology for Coherent Analytic Sheaves

In this article, we construct Chern classes in rational Deligne cohomology for coherent sheaves on a smooth compact complex manifold. We prove that these classes satisfy the functoriality property under pullbacks, the Whitney formula and the Grothendieck-Riemann-Roch theorem for an immersion. This answers the question of proving that if F is a coherent sheaf of rank i on X, the topological Cher...

متن کامل

A counterexample to the Hodge conjecture for Kähler varieties

H(X,C) = ⊕p+q=kH (X). A class α ∈ H(X,Q) is said to be a rational Hodge class if its image in H(X,C) belongs to H(X). As is well known, the classes which are Poincaré dual to irreducible algebraic subvarieties of codimension p of X are degree 2p Hodge classes. The Hodge conjecture asserts that any rational Hodge class is a combination with rational coefficients of such classes. In the case of a...

متن کامل

V Turaev, Poincaré-Reidemeister metric, Euler structures, and torsion

In this paper we define a Poincaré-Reidemeister scalar product on the determinant line of the cohomology of any flat vector bundle over a closed orientable odd-dimensional manifold. It is a combinatorial “torsion-type” invariant which refines the PR-metric introduced in [Fa] and contains an additional sign or phase information. We compute the PR-scalar product in terms of the torsions of Euler ...

متن کامل

Stiefel-whitney Classes for Representations of Groups

Associated to a compact Lie group G is the abelian group P(G) of total Stiefel-Whitney classes of representations. In certain cases the rank of P(G) is equal to the number of conjugacy classes of involutions in G. For the symmetric groups Sn, the total Stiefel-Whitney class of the regular representation is highly divisible in P(Sn) and this implies the existence of 'global' Dickson invariants i...

متن کامل

ar X iv : m at h / 98 03 13 7 v 2 [ m at h . D G ] 1 6 M ay 1 99 8 POINCARÉ - REIDEMEISTER METRIC , EULER STRUCTURES , AND TORSION

In this paper we define a Poincaré-Reidemeister scalar product on the determinant line of the cohomology of any flat vector bundle over a closed orientable odd-dimensional manifold. It is a combinatorial “torsion-type” invariant which refines the PR-metric introduced in [Fa] and contains an additional sign or phase information. We compute the PR-scalar product in terms of the torsions of Euler ...

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