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Orbifold Stiefel-Whitney Classes of Real Orbifold Vector Bundles over Right-Angled Coxeter Complexes

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Abstract

The author gives a definition of orbifold Stiefel-Whitney classes of real orbifold vector bundles over special q-CW complexes (i.e., right-angled Coxeter complexes). Similarly to ordinary Stiefel-Whitney classes, orbifold Stiefel-Whitney classes here also satisfy the associated axiomatic properties.

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Acknowledgement

I would like to thank my mentor Professor Zhi Lü for useful suggestions and valuable discussions, and thank the anonymous referees for valuable suggestions and comments which have improved this paper.

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Correspondence to Lisu Wu.

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This work was supported by the National Natural Science Foundation of China (No. 11971112).

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Wu, L. Orbifold Stiefel-Whitney Classes of Real Orbifold Vector Bundles over Right-Angled Coxeter Complexes. Chin. Ann. Math. Ser. B 43, 33–50 (2022). https://doi.org/10.1007/s11401-022-0302-0

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  • DOI: https://doi.org/10.1007/s11401-022-0302-0

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