ScalingStacks

Lemma 2.4 . [03DA]

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Lemma 2.4.

The monodromy transformation T⁡(v0​w0​v1​w1):ℤv0d→ℤv0dT(v_{0}w_{0}v_{1}w_{1})\colon\mathbb{Z}^{d}_{v_{0}}\rightarrow\mathbb{Z}^{d}_{v_{0}} along the loop (v0​w0​v1​w1)(v_{0}w_{0}v_{1}w_{1}) is given by T⁡(v0​w0​v1​w1)​(n)=n+⟨v1,n⟩​(w1−w0)T(v_{0}w_{0}v_{1}w_{1})(n)=n+\langle v_{1},n\rangle(w_{1}-w_{0}).

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