Abstract
In this paper, we extend the formal definition of topological surgery by introducing new notions in order to model natural phenomena exhibiting it. On the one hand, the common features of the presented natural processes are captured by our schematic models and, on the other hand, our new definitions provide the theoretical setting for examining the topological changes involved in these processes.
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Acknowledgements
We wish to express our gratitude to Louis H. Kauffman and Cameron McA.Gordon for many fruitful conversations on topological surgery. We would also like to thank the Referee for his/her positive comments and for helping us clarify some key notions. We further wish to acknowledge that this research has been co-financed by the European Union (European Social Fund - ESF) and the Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) - Research Funding Program: THALES: Reinforcement of the interdisciplinary and/or inter-institutional research and innovation.
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Antoniou, S., Lambropoulou, S. (2017). Topological Surgery in Nature. In: Lambropoulou, S., Theodorou, D., Stefaneas, P., Kauffman, L. (eds) Algebraic Modeling of Topological and Computational Structures and Applications. AlModTopCom 2015. Springer Proceedings in Mathematics & Statistics, vol 219. Springer, Cham. https://doi.org/10.1007/978-3-319-68103-0_15
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DOI: https://doi.org/10.1007/978-3-319-68103-0_15
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