I used to know a term for pair of pants, but perhaps there is none. It looks like this also.
Are there any synonyms of "pair of pants" in topology?
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$\begingroup$
general-topology
terminology
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1I was amused to find that the wikipedia page for "Trousers" does, in fact, have your wikipedia page as a disambiguation. – 2012-08-01
1 Answers
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You could call it a "pretzel", as shown on http://www.maths.ed.ac.uk/~aar/surgery/zeeman.pdf. I've also heard it called a "trophy".
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0I $h$ave also heard (and used) trinion, in some conformal field theory papers (we often manipulate Riemann surfaces in 2d CF$T$). – 2012-08-01