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I've been studying about topological insulators, but still I can't understand why this materials are called topological, I've read about topological analogy between the donut and the coffee mug and the smooth changes on the Hamiltonian, but I can't get the full picture, can somebody please explain this to me? or can you direct me about an article with an easy explanation about this.

thanks

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# Why topological insulators are topological?

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