Revisiting Pinors and Orientability
Loriano Bonora; Fabio Ferrari Ruffino; Raffaele Savelli
Bollettino dell'Unione Matematica Italiana (2012)
- Volume: 5, Issue: 2, page 405-422
- ISSN: 0392-4041
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topBonora, Loriano, Ferrari Ruffino, Fabio, and Savelli, Raffaele. "Revisiting Pinors and Orientability." Bollettino dell'Unione Matematica Italiana 5.2 (2012): 405-422. <http://eudml.org/doc/290929>.
@article{Bonora2012,
abstract = {We study the relations between pin structures on a non-orientable even-dimensional manifold, with or without boundary, and pin structures on its orientable double cover, requiring the latter to be invariant under sheet-exchange. We show that there is not a simple bijection, but that the natural map induced by pull-back is neither injective nor surjective: we thus find the conditions to recover a full correspondence. We then consider the example of surfaces, with detailed computations for the real projective plane, the Klein bottle and the Moebius strip.},
author = {Bonora, Loriano, Ferrari Ruffino, Fabio, Savelli, Raffaele},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {405-422},
publisher = {Unione Matematica Italiana},
title = {Revisiting Pinors and Orientability},
url = {http://eudml.org/doc/290929},
volume = {5},
year = {2012},
}
TY - JOUR
AU - Bonora, Loriano
AU - Ferrari Ruffino, Fabio
AU - Savelli, Raffaele
TI - Revisiting Pinors and Orientability
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/6//
PB - Unione Matematica Italiana
VL - 5
IS - 2
SP - 405
EP - 422
AB - We study the relations between pin structures on a non-orientable even-dimensional manifold, with or without boundary, and pin structures on its orientable double cover, requiring the latter to be invariant under sheet-exchange. We show that there is not a simple bijection, but that the natural map induced by pull-back is neither injective nor surjective: we thus find the conditions to recover a full correspondence. We then consider the example of surfaces, with detailed computations for the real projective plane, the Klein bottle and the Moebius strip.
LA - eng
UR - http://eudml.org/doc/290929
ER -
References
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