In algebraic topology, a Murasugi sum is a function that relates a finite sequence of surfaces over a disk, which is common to every parallel pair (adjacent), in such a way that it exists in the boundaries of a closed arc. The only place that they are disjoint is at their endpoints, which are also alternating subarcs between the two surfaces' boundaries.[1][2]
Etymology edit
Murasugi sums are named after Kunio Marasugi.
References edit
- ^ "Murasugi sum meaning and definition". Meanings and Definitions. Retrieved 2021-02-05.
- ^ Ozbagci, Burak; Popescu-Pampu, Patrick (2014-12-06). "Generalized plumbings and Murasugi sums". Arnold Mathematical Journal. 2: 69–119. arXiv:1412.2229v2. doi:10.1007/s40598-015-0033-3. S2CID 256393645.
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