10 citations · 51 across the 10 of their papers we have counts for
10 papers
Darondeau-Pragacz formulas in complex cobordism
Masaki Nakagawa, Hiroshi Naruse
In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in the ordinary cohomology theory, which are due to Darondeau-Pragacz, to the complex cobordism theo…
Universal factorial Schur -functions and their duals
Masaki Nakagawa, Hiroshi Naruse
We define universal factorial Schur -functions and their duals, which specialize to generalized (co)-homology "Schubert basis" for loop spaces of the classical groups. We also…
The universal factorial Hall-Littlewood - and -functions
Masaki Nakagawa, Hiroshi Naruse
In this paper, we introduce {\it factorial} analogues of the ordinary Hall--Littlewood - and -polynomials, which we call the {\it factorial Hall--Littlewood - and -poly…
Universal Gysin formulas for the universal Hall-Littlewood functions
Masaki Nakagawa, Hiroshi Naruse
It is known that the usual Schur - and -polynomials can be described via the Gysin homomorphisms for flag bundles in the ordinary cohomology theory. Recently, P. Pragacz gene…
Generalized Lyapunov exponent as a unified characterization of dynamical instabilities
Takuma Akimoto, Masaki Nakagawa, Soya Shinkai +1
The Lyapunov exponent characterizes an exponential growth rate of the difference of nearby orbits. A positive Lyapunov exponent is a manifestation of chaos. Here, we propose the Ly…
Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur - and -functions
Masaki Nakagawa, Hiroshi Naruse
In this paper, we study the generalized (co)homology Hopf algebras of the loop spaces on the infinite classical groups, generalizing the work due to Kono-Kozima and Clarke. We shal…
The integral cohomology ring of E_8/T
Masaki Nakagawa
We give a complete description of the integral cohomology ring of the flag manifold E_8/T, where E_8 denotes the compact exceptional Lie group of rank 8 and T its maximal torus, by…
The integral cohomology ring of E_8/T^1E_7
Masaki Nakagawa
We determine the integral cohomology ring of the homogeneous space E_8/T^1E_7 by the Borel presentation and a method due to Toda. Then using the Gysin exact sequence associated wit…
The Chow rings of the algebraic groups E_6, E_7, and E_8
Shizuo Kaji, Masaki Nakagawa
We determine the Chow rings of the complex algebraic groups of the exceptional type E_6, E_7, and E_8, giving the explicit generators represented by the pull-back images of Schuber…
A description based on Schubert classes of cohomology of flag manifolds
Masaki Nakagawa
We describe the integral cohomology rings of the flag manifolds of types B_n, D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the divided difference operators…