The Quantum Pair of Pants
Slawomir Klimek, Matt McBride, Sumedha Rathnayake, and Kaoru Sakai

TL;DR
This paper analyzes the spectrum of a multiplication operator on a Hilbert space of holomorphic functions with two holes and characterizes the associated $C^*$-algebra, termed the quantum pair of pants.
Contribution
It introduces the quantum pair of pants as a new $C^*$-algebra generated by a specific multiplication operator on a multiply connected domain.
Findings
Computed the spectrum of the multiplication operator.
Determined the structure of the generated $C^*$-algebra.
Established the algebra as the quantum pair of pants.
Abstract
We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the -algebra generated by that operator. The algebra can be considered as the quantum pair of pants.
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