Science Advances

Supplementary Materials

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  • Fig. S1. Illustration of the 2-cells e12 and e22 and the 1-cell e1 used to discuss the effect of gluing conditions on MTCIs.
  • Fig. S2. The 3-cells e13 and e13 ( e23 and e23) meet at the 2-cell e12 ( e22).
  • Fig. S3. Cross section through e1 and the 2-cells that meet at e1, in case (2b.ii), where e1 is contained in a C3v axis.
  • Fig. S4. Illustration of the effects of the gluing condition for ℤ2 TCIs for two representative space groups.
  • Table S1. Topological crystals beyond layer construction.
  • Table S2. Classification Cfull of STIs and TCIs with time-reversal symmetry and spin-orbital coupling for all point groups.
  • Table S3. Classification Cfull of STIs and TCIs with time-reversal symmetry and spin-orbital coupling for all space groups.

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