id sid tid token lemma pos m900ns08g8k 1 1 using use VERB m900ns08g8k 1 2 the the DET m900ns08g8k 1 3 stolz stolz VERB m900ns08g8k 1 4 - - PUNCT m900ns08g8k 1 5 teichner teichner NOUN m900ns08g8k 1 6 framework framework NOUN m900ns08g8k 1 7 of of ADP m900ns08g8k 1 8 supersymmetric supersymmetric ADJ m900ns08g8k 1 9 euclidean euclidean ADJ m900ns08g8k 1 10 field field NOUN m900ns08g8k 1 11 theories theory NOUN m900ns08g8k 1 12 ( ( PUNCT m900ns08g8k 1 13 efts efts ADV m900ns08g8k 1 14 ) ) PUNCT m900ns08g8k 1 15 , , PUNCT m900ns08g8k 1 16 we we PRON m900ns08g8k 1 17 provide provide VERB m900ns08g8k 1 18 geometric geometric ADJ m900ns08g8k 1 19 interpretations interpretation NOUN m900ns08g8k 1 20 of of ADP m900ns08g8k 1 21 some some DET m900ns08g8k 1 22 aspects aspect NOUN m900ns08g8k 1 23 of of ADP m900ns08g8k 1 24 the the DET m900ns08g8k 1 25 algebraic algebraic ADJ m900ns08g8k 1 26 topology topology NOUN m900ns08g8k 1 27 of of ADP m900ns08g8k 1 28 orbifolds.we orbifolds.we NUM m900ns08g8k 1 29 begin begin VERB m900ns08g8k 1 30 with with ADP m900ns08g8k 1 31 a a DET m900ns08g8k 1 32 classification classification NOUN m900ns08g8k 1 33 of of ADP m900ns08g8k 1 34 0|1 0|1 SPACE m900ns08g8k 1 35 - - PUNCT m900ns08g8k 1 36 dimensional dimensional ADJ m900ns08g8k 1 37 twists twist NOUN m900ns08g8k 1 38 for for ADP m900ns08g8k 1 39 efts efts ADV m900ns08g8k 1 40 over over ADP m900ns08g8k 1 41 an an DET m900ns08g8k 1 42 orbifold orbifold NOUN m900ns08g8k 1 43 x x NOUN m900ns08g8k 1 44 , , PUNCT m900ns08g8k 1 45 and and CCONJ m900ns08g8k 1 46 show show VERB m900ns08g8k 1 47 that that SCONJ m900ns08g8k 1 48 the the DET m900ns08g8k 1 49 collection collection NOUN m900ns08g8k 1 50 of of ADP m900ns08g8k 1 51 concordance concordance NOUN m900ns08g8k 1 52 classes class NOUN m900ns08g8k 1 53 of of ADP m900ns08g8k 1 54 twisted twisted ADJ m900ns08g8k 1 55 efts efts ADV m900ns08g8k 1 56 over over ADP m900ns08g8k 1 57 the the DET m900ns08g8k 1 58 inertia inertia NOUN m900ns08g8k 1 59 λx λx ADV m900ns08g8k 1 60 is be AUX m900ns08g8k 1 61 in in ADP m900ns08g8k 1 62 natural natural ADJ m900ns08g8k 1 63 bijection bijection NOUN m900ns08g8k 1 64 with with ADP m900ns08g8k 1 65 the the DET m900ns08g8k 1 66 delocalized delocalize VERB m900ns08g8k 1 67 twisted twisted ADJ m900ns08g8k 1 68 cohomology cohomology NOUN m900ns08g8k 1 69 of of ADP m900ns08g8k 1 70 x x PROPN m900ns08g8k 1 71 ( ( PUNCT m900ns08g8k 1 72 which which PRON m900ns08g8k 1 73 is be AUX m900ns08g8k 1 74 isomorphic isomorphic ADJ m900ns08g8k 1 75 to to ADP m900ns08g8k 1 76 its its PRON m900ns08g8k 1 77 complexified complexified ADJ m900ns08g8k 1 78 k k NOUN m900ns08g8k 1 79 - - PUNCT m900ns08g8k 1 80 theory theory NOUN m900ns08g8k 1 81 ) ) PUNCT m900ns08g8k 1 82 . . PUNCT m900ns08g8k 2 1 then then ADV m900ns08g8k 2 2 , , PUNCT m900ns08g8k 2 3 turning turn VERB m900ns08g8k 2 4 to to ADP m900ns08g8k 2 5 1|1 1|1 NUM m900ns08g8k 2 6 - - PUNCT m900ns08g8k 2 7 dimensional dimensional ADJ m900ns08g8k 2 8 considerations consideration NOUN m900ns08g8k 2 9 , , PUNCT m900ns08g8k 2 10 we we PRON m900ns08g8k 2 11 construct construct VERB m900ns08g8k 2 12 a a DET m900ns08g8k 2 13 ( ( PUNCT m900ns08g8k 2 14 partial partial ADJ m900ns08g8k 2 15 ) ) PUNCT m900ns08g8k 2 16 twist twist NOUN m900ns08g8k 2 17 functor functor NOUN m900ns08g8k 2 18 over over ADP m900ns08g8k 2 19 x x SYM m900ns08g8k 2 20 taking take VERB m900ns08g8k 2 21 as as ADP m900ns08g8k 2 22 input input NOUN m900ns08g8k 2 23 a a DET m900ns08g8k 2 24 class class NOUN m900ns08g8k 2 25 in in ADP m900ns08g8k 2 26 h³(x h³(x SPACE m900ns08g8k 2 27 ; ; PUNCT m900ns08g8k 2 28 ℤ).next ℤ).next PROPN m900ns08g8k 2 29 , , PUNCT m900ns08g8k 2 30 we we PRON m900ns08g8k 2 31 define define VERB m900ns08g8k 2 32 a a DET m900ns08g8k 2 33 dimensional dimensional ADJ m900ns08g8k 2 34 reduction reduction NOUN m900ns08g8k 2 35 procedure procedure NOUN m900ns08g8k 2 36 relating relate VERB m900ns08g8k 2 37 the the DET m900ns08g8k 2 38 0|1 0|1 SPACE m900ns08g8k 2 39 - - PUNCT m900ns08g8k 2 40 dimensional dimensional ADJ m900ns08g8k 2 41 euclidean euclidean ADJ m900ns08g8k 2 42 bordism bordism NOUN m900ns08g8k 2 43 category category NOUN m900ns08g8k 2 44 over over ADP m900ns08g8k 2 45 λx λx PROPN m900ns08g8k 2 46 and and CCONJ m900ns08g8k 2 47 its its PRON m900ns08g8k 2 48 1|1 1|1 NUM m900ns08g8k 2 49 - - PUNCT m900ns08g8k 2 50 dimensional dimensional ADJ m900ns08g8k 2 51 counterpart counterpart NOUN m900ns08g8k 2 52 over over ADP m900ns08g8k 2 53 x x PROPN m900ns08g8k 2 54 , , PUNCT m900ns08g8k 2 55 and and CCONJ m900ns08g8k 2 56 explore explore VERB m900ns08g8k 2 57 some some DET m900ns08g8k 2 58 applications application NOUN m900ns08g8k 2 59 . . PUNCT m900ns08g8k 3 1 as as ADP m900ns08g8k 3 2 a a DET m900ns08g8k 3 3 basic basic ADJ m900ns08g8k 3 4 example example NOUN m900ns08g8k 3 5 , , PUNCT m900ns08g8k 3 6 we we PRON m900ns08g8k 3 7 show show VERB m900ns08g8k 3 8 that that SCONJ m900ns08g8k 3 9 dimensional dimensional ADJ m900ns08g8k 3 10 reduction reduction NOUN m900ns08g8k 3 11 of of ADP m900ns08g8k 3 12 untwisted untwisted ADJ m900ns08g8k 3 13 efts efts ADV m900ns08g8k 3 14 over over ADP m900ns08g8k 3 15 a a DET m900ns08g8k 3 16 global global ADJ m900ns08g8k 3 17 quotient quotient NOUN m900ns08g8k 3 18 orbifold orbifold PROPN m900ns08g8k 3 19 x//g x//g PROPN m900ns08g8k 3 20 recovers recover VERB m900ns08g8k 3 21 the the DET m900ns08g8k 3 22 equivariant equivariant ADJ m900ns08g8k 3 23 chern chern ADJ m900ns08g8k 3 24 character character NOUN m900ns08g8k 3 25 . . PUNCT m900ns08g8k 4 1 finally finally ADV m900ns08g8k 4 2 , , PUNCT m900ns08g8k 4 3 we we PRON m900ns08g8k 4 4 describe describe VERB m900ns08g8k 4 5 the the DET m900ns08g8k 4 6 dimensional dimensional ADJ m900ns08g8k 4 7 reduction reduction NOUN m900ns08g8k 4 8 of of ADP m900ns08g8k 4 9 the the DET m900ns08g8k 4 10 1|1 1|1 NUM m900ns08g8k 4 11 - - PUNCT m900ns08g8k 4 12 twist twist NOUN m900ns08g8k 4 13 built build VERB m900ns08g8k 4 14 earlier early ADV m900ns08g8k 4 15 , , PUNCT m900ns08g8k 4 16 showing show VERB m900ns08g8k 4 17 that that SCONJ m900ns08g8k 4 18 it it PRON m900ns08g8k 4 19 has have VERB m900ns08g8k 4 20 the the DET m900ns08g8k 4 21 expected expect VERB m900ns08g8k 4 22 relation relation NOUN m900ns08g8k 4 23 to to ADP m900ns08g8k 4 24 twisted twisted ADJ m900ns08g8k 4 25 k k NOUN m900ns08g8k 4 26 - - PUNCT m900ns08g8k 4 27 theory theory NOUN m900ns08g8k 4 28 . . PUNCT