The parity of the Maslov index and the even cobordism category

• Autorzy: Patrick M. Gilmer , Khaled Qazaqzeh
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57R56: Topological quantum field theories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 188
• Numer: 1
• Strony: 95-102

Daty

wydano

2005

Twórcy

autor

Patrick M. Gilmer

• Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, U.S.A.

autor

Khaled Qazaqzeh

• Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, U.S.A.

Identyfikatory

DOI

10.4064/fm188-0-5