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Peacock patterns and resurgence in complex Chern–Simons theory

Peacock patterns and resurgence in complex Chern–Simons theory

Abstract The partition function of complex Chern–Simons theory on a 3-manifold with torus boundary reduces to a finite-dimensional state-integral which is a holomorphic function of a complexified Planck’s constant $$\tau $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>τ</mml:mi></mml:math> in the complex cut plane and an entire function of a complex parameter u . This gives …