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Index - Pg. 465

Index (-1, 1)-form, 333 4g + 2 theorem, 203 proof, 211 84(g - 1) theorem, 203 proof, 210 9g - 9 theorem, 287, 439 G-invariants of a group action, 364 S g -bundle over S 1 , 379 S g -tile, 273 I(S g )-equivalent, 186 -thick part, 354 kth Torelli group, 199 2-chain relation, 107 affine transformation, 393 Alexander lemma, 47 Alexander method, 58, 59 Beltrami equation, 334 Bers' constant, 356 big diagonal, 242 bigon, 30 bigon criterion, 30 first proof, 31 second proof, 32 biholomorphic, 297 Birman exact sequence, 96 for the Torelli group, 185 forgetful map, 96 generalized, 245 nonsplitting of, 153 point-pushing map, 97 statement, 97 Birman­Craggs­Johnson maps, 198 Birman­Hilden theorem, 253, 254