Abstract
We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids. This extends the notion of Lusternik-Schnirelmann category for smooth manifolds and orbifolds.
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Acknowledgements
The first and third author like to thank Sadok Kallel and the American University of Sharjah, UAE for financial support where part of this work was presented at the Second International Conference on Mathematics and Statistics. Both also like to thank the University of Leicester for additional support. The second author is supported in part by the Simons Foundation. Finally, the second and third authors also like to thank the Centro de Investigación en Matemáticas (CIMAT) in Guanajuato for the kind hospitality and support while this project was pursued.
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Alsulami, S., Colman, H., Neumann, F. (2017). The Lusternik-Schnirelmann Category for a Differentiable Stack. In: Abualrub, T., Jarrah, A., Kallel, S., Sulieman, H. (eds) Mathematics Across Contemporary Sciences. AUS-ICMS 2015. Springer Proceedings in Mathematics & Statistics, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-319-46310-0_1
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