The parity of the Maslov index and the even cobordism category

Patrick M. Gilmer, and Khaled Qazaqzeh. "The parity of the Maslov index and the even cobordism category." Fundamenta Mathematicae 188.1 (2005): 95-102. <http://eudml.org/doc/286104>.

@article{PatrickM2005,
abstract = {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.},
author = {Patrick M. Gilmer, Khaled Qazaqzeh},
journal = {Fundamenta Mathematicae},
keywords = {even cobordisms; Lagrangian; Maslov index},
language = {eng},
number = {1},
pages = {95-102},
title = {The parity of the Maslov index and the even cobordism category},
url = {http://eudml.org/doc/286104},
volume = {188},
year = {2005},
}

TY - JOUR
AU - Patrick M. Gilmer
AU - Khaled Qazaqzeh
TI - The parity of the Maslov index and the even cobordism category
JO - Fundamenta Mathematicae
PY - 2005
VL - 188
IS - 1
SP - 95
EP - 102
AB - 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.
LA - eng
KW - even cobordisms; Lagrangian; Maslov index
UR - http://eudml.org/doc/286104
ER -