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Murasugi sum

Student-Run Geometry/Topology Seminar

Speaker: Fabiola Manjarrez-Gutierrez, UC Davis
Location: 2112 MSB
Start time: Thu, Feb 16 2006, 1:10PM

The Murasugi sum is an operation to combine two knots, which depends on a choice of Seifert surfaces for the knots and also on a choice of disks along which to do the sum. Gabai proved that under certain conditions many properties of the Seifert surfaces are preserved under Murasugi sum. I will define Murasugi sum and state some basic properties and applications of this powerful tool.