The parity of the Maslov index and the even cobordism category

被引：3

作者：

Gilmer, PM ^{[1
]}

Qazaqzeh, K ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

FUNDAMENTA MATHEMATICAE | 2005年 / 188卷

关键词：

even cobordisms; Lagrangian; Maslov index;

D O I：

10.4064/fm188-0-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a formula for the parity of the Maslov index of a triple of Lagrangian subspaces of a skew symmetric bilinear form over R. We define an index two subcategory (the even subcategory) of a 3-dimensional cobordism category. The objects of the category are surfaces equipped with Lagrangian subspaces of their real first homology. This generalizes a result of the first author where surfaces are equipped with Lagrangian subspaces of their rational first homology.

引用

页码：95 / 102

页数：8