Wyniki wyszukiwania

1

Secondary characteristic classes for the isotropic Grassmannian

100%

Mikosz M.

Banach Center Publications

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1999

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tom 50

|

nr 1

194-204

2

Special Lagrangian linear subspaces in product symplectic space

100%

Mikosz M.

Banach Center Publications

|

2004

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tom 65

|

nr 1

151-156

EN

The notes consist of a study of special Lagrangian linear subspaces. We will give a condition for the graph of a linear symplectomorphism $f:(ℝ^{2n},σ = ∑_{i=1}^{n} dx_i ∧ dy_i) → (ℝ^{2n},σ)$ to be a special Lagrangian linear subspace in $(ℝ^{2n} × ℝ^{2n},ω = π*₂σ - π*₁σ)$. This way a special symplectic subset in the symplectic group is introduced. A stratification of special Lagrangian Grassmannian $SΛ_{2n} ≃ SU(2n)/SO(2n)$ is defined.

3

Positivity of Thom polynomials II: the Lagrange singularities

51%

Mikosz M., Pragacz P., Weber A.

Fundamenta Mathematicae

|

2009

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tom 202

|

nr 1

65-79

EN

We study Thom polynomials associated with Lagrange singularities. We expand them in the basis of Q̃-functions. This basis plays a key role in the Schubert calculus of isotropic Grassmannians. We prove that the Q̃-function expansions of the Thom polynomials of Lagrange singularities always have nonnegative coefficients. This is an analog of a result on the Thom polynomials of mapping singularities and Schur S-functions, established formerly by the last two authors.

Ograniczanie wyników

2 Banach Center Publications

1 Fundamenta Mathematicae

3 Mikosz M.

1 Pragacz P.

1 Weber A.

1 2009

1 2004

1 1999

Secondary characteristic classes for the isotropic Grassmannian

Special Lagrangian linear subspaces in product symplectic space

Positivity of Thom polynomials II: the Lagrange singularities