summary:This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem
The aim of this note is to clarify the relevance of \connections up to homotopy" [4, 5] to the theor...
In this note we define the Chern–Simons classes of a flat superconnection, D+L, on a complex Z/2Z-gr...
summary:This paper has two parts. Part one is mainly intended as a general introduction to the probl...
summary:This paper studies the relationship between the sections and the Chern or Pontrjagin classes...
This work studies the mathematical structures which are relevant to differentiable manifolds needed ...
The development the theory of characteristic classes allowed Shiing-Shen Chern to generalize the Gau...
International audienceWe compute the Bott-Chern classes of the metric Eulersequence describing the r...
Imanishi, Jinzenji and Kuwata provided a recipe for computing Euler number of Grassmann manifold $G(...
AbstractLet ξ be a smooth vector bundle over a differentiable manifold M. Let h:εn−i+1→ξ be a generi...
The aim of this note is to point out that Chern characters can be computed using curvatures of \conn...
Abstract. We show that the characteristic polynomial of a hyperplane arrange-ment can be recovered f...
Given a Hermitian holomorphic vector bundle over a complex manifold, consider its flag bundles with ...
The classical Chern correspondence states that a choice of Hermitian metric on a holomorphic vector ...
summary:Motivated by the work of A.\,C. Naolekar and A.\,S. Thakur (2014) we introduce notions of up...
This text presents a graduate-level introduction to differential geometry for mathematics and physic...
The aim of this note is to clarify the relevance of \connections up to homotopy" [4, 5] to the theor...
In this note we define the Chern–Simons classes of a flat superconnection, D+L, on a complex Z/2Z-gr...
summary:This paper has two parts. Part one is mainly intended as a general introduction to the probl...
summary:This paper studies the relationship between the sections and the Chern or Pontrjagin classes...
This work studies the mathematical structures which are relevant to differentiable manifolds needed ...
The development the theory of characteristic classes allowed Shiing-Shen Chern to generalize the Gau...
International audienceWe compute the Bott-Chern classes of the metric Eulersequence describing the r...
Imanishi, Jinzenji and Kuwata provided a recipe for computing Euler number of Grassmann manifold $G(...
AbstractLet ξ be a smooth vector bundle over a differentiable manifold M. Let h:εn−i+1→ξ be a generi...
The aim of this note is to point out that Chern characters can be computed using curvatures of \conn...
Abstract. We show that the characteristic polynomial of a hyperplane arrange-ment can be recovered f...
Given a Hermitian holomorphic vector bundle over a complex manifold, consider its flag bundles with ...
The classical Chern correspondence states that a choice of Hermitian metric on a holomorphic vector ...
summary:Motivated by the work of A.\,C. Naolekar and A.\,S. Thakur (2014) we introduce notions of up...
This text presents a graduate-level introduction to differential geometry for mathematics and physic...
The aim of this note is to clarify the relevance of \connections up to homotopy" [4, 5] to the theor...
In this note we define the Chern–Simons classes of a flat superconnection, D+L, on a complex Z/2Z-gr...
summary:This paper has two parts. Part one is mainly intended as a general introduction to the probl...