An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians

We first prove an identity involving symmetric polynomials. This identity leads us into exploring the geometry of Lagrangian Grassmannians. As an insight applications, we obtain a formula for the integral over the Lagrangian Grassmannian of a characteristic class of the tautological sub-bundle. More...

Mô tả đầy đủ

Đã lưu trong:

Chi tiết về thư mục
Những tác giả chính:	Đặng, Tuấn Hiệp, Nguyen, Chanh Tu
Định dạng:	Research report
Ngôn ngữ:	English
Được phát hành:	Journal of Algebra 2021
Những chủ đề:	Equivariant cohomology Gromov-Witten invariant Lagrangian Grassmannian Interpolation Schubert structure constant Symmetric polynomial Quantum cohomology
Truy cập trực tuyến:	http://scholar.dlu.edu.vn/handle/123456789/590
Các nhãn:	Thêm thẻ Không có thẻ, Là người đầu tiên thẻ bản ghi này!

Thư viện lưu trữ:	Thư viện Trường Đại học Đà Lạt

id	oai:scholar.dlu.edu.vn:123456789-590
record_format	dspace
spelling	oai:scholar.dlu.edu.vn:123456789-5902023-05-19T06:18:25Z An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians Đặng, Tuấn Hiệp Nguyen, Chanh Tu Equivariant cohomology Gromov-Witten invariant Lagrangian Grassmannian Interpolation Schubert structure constant Symmetric polynomial Quantum cohomology We first prove an identity involving symmetric polynomials. This identity leads us into exploring the geometry of Lagrangian Grassmannians. As an insight applications, we obtain a formula for the integral over the Lagrangian Grassmannian of a characteristic class of the tautological sub-bundle. Moreover, a relation to that over the ordinary Grassmannian and its application to the degree formula for the Lagrangian Grassmannian are given. Finally, we present further applications to the computation of Schubert structure constants and three-point, degree 1, genus 0 Gromov–Witten invariants of the Lagrangian Grassmannian. Some examples together with explicit computations are presented. 2021-09-23T09:33:25Z 2021-09-23T09:33:25Z 2021-01 Research report Đề tài cấp Bộ và tương đương Khoa học tự nhiên http://scholar.dlu.edu.vn/handle/123456789/590 10.1016/j.jalgebra.2020.07.025 en Journal of Algebra
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Equivariant cohomology Gromov-Witten invariant Lagrangian Grassmannian Interpolation Schubert structure constant Symmetric polynomial Quantum cohomology
spellingShingle	Equivariant cohomology Gromov-Witten invariant Lagrangian Grassmannian Interpolation Schubert structure constant Symmetric polynomial Quantum cohomology Đặng, Tuấn Hiệp Nguyen, Chanh Tu An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
description	We first prove an identity involving symmetric polynomials. This identity leads us into exploring the geometry of Lagrangian Grassmannians. As an insight applications, we obtain a formula for the integral over the Lagrangian Grassmannian of a characteristic class of the tautological sub-bundle. Moreover, a relation to that over the ordinary Grassmannian and its application to the degree formula for the Lagrangian Grassmannian are given. Finally, we present further applications to the computation of Schubert structure constants and three-point, degree 1, genus 0 Gromov–Witten invariants of the Lagrangian Grassmannian. Some examples together with explicit computations are presented.
format	Research report
author	Đặng, Tuấn Hiệp Nguyen, Chanh Tu
author_facet	Đặng, Tuấn Hiệp Nguyen, Chanh Tu
author_sort	Đặng, Tuấn Hiệp
title	An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
title_short	An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
title_full	An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
title_fullStr	An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
title_full_unstemmed	An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians
title_sort	identity involving symmetric polynomials and the geometry of lagrangian grassmannians
publisher	Journal of Algebra
publishDate	2021
url	http://scholar.dlu.edu.vn/handle/123456789/590
_version_	1768306194015846400

An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians

Những quyển sách tương tự