References analysis of the Wikipedia article "Mirror symmetry (string theory)" in the English version

arxiv.org (Global: 69^th place; English: 59^th place)

Hori & Vafa 2000. Hori, Kentaro; Vafa, Cumrun (2000). "Mirror Symmetry". arXiv:hep-th/0002222.

Givental 1996, 1998; Lian, Liu & Yau 1997, 1999a, 1999b, 2000. Givental, Alexander (1996). "Equivariant Gromov-Witten invariants". International Mathematics Research Notices. 1996 (13): 613–663. doi:10.1155/S1073792896000414. S2CID 554844. Givental, Alexander (1998). "A Mirror Theorem for Toric Complete Intersections". Topological Field Theory, Primitive Forms and Related Topics. pp. 141–175. arXiv:alg-geom/9701016. Bibcode:1998tftp.conf..141G. doi:10.1007/978-1-4612-0705-4_5. ISBN 978-1-4612-6874-1. S2CID 2884104. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (1997). "Mirror principle, I". Asian Journal of Mathematics. 1 (4): 729–763. arXiv:alg-geom/9712011. Bibcode:1997alg.geom.12011L. doi:10.4310/ajm.1997.v1.n4.a5. S2CID 8035522. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (1999a). "Mirror principle, II". Asian Journal of Mathematics. 3: 109–146. arXiv:math/9905006. Bibcode:1999math......5006L. doi:10.4310/ajm.1999.v3.n1.a6. S2CID 17837291. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (1999b). "Mirror principle, III". Asian Journal of Mathematics. 3 (4): 771–800. arXiv:math/9912038. Bibcode:1999math.....12038L. doi:10.4310/ajm.1999.v3.n4.a4. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (2000). "Mirror principle, IV". Surveys in Differential Geometry. 7: 475–496. arXiv:math/0007104. Bibcode:2000math......7104L. doi:10.4310/sdg.2002.v7.n1.a15. S2CID 1099024.

Strominger, Yau & Zaslow 1996. Strominger, Andrew; Yau, Shing-Tung; Zaslow, Eric (1996). "Mirror symmetry is T-duality". Nuclear Physics B. 479 (1): 243–259. arXiv:hep-th/9606040. Bibcode:1996NuPhB.479..243S. doi:10.1016/0550-3213(96)00434-8. S2CID 14586676.

Vafa 1992; Witten 1992. Vafa, Cumrun (1992). "Topological mirrors and quantum rings". Essays on Mirror Manifolds: 96–119. arXiv:hep-th/9111017. Bibcode:1991hep.th...11017V. ISBN 978-962-7670-01-8. Witten, Edward (1992). "Mirror manifolds and topological field theory". Essays on Mirror Manifolds: 121–160. ISBN 978-962-7670-01-8.

Kontsevich 1995b. Kontsevich, Maxim (1995b). "Homological Algebra of Mirror Symmetry". Proceedings of the International Congress of Mathematicians. pp. 120–139. arXiv:alg-geom/9411018. Bibcode:1994alg.geom.11018K. doi:10.1007/978-3-0348-9078-6_11. ISBN 978-3-0348-9897-3. S2CID 16733945.

Kontsevich 1995a. Kontsevich, Maxim (1995a), "Enumeration of Rational Curves Via Torus Actions", The Moduli Space of Curves, Birkhäuser, p. 335, arXiv:hep-th/9405035, doi:10.1007/978-1-4612-4264-2_12, ISBN 978-1-4612-8714-8, S2CID 16131978

Givental 1996, 1998 Givental, Alexander (1996). "Equivariant Gromov-Witten invariants". International Mathematics Research Notices. 1996 (13): 613–663. doi:10.1155/S1073792896000414. S2CID 554844. Givental, Alexander (1998). "A Mirror Theorem for Toric Complete Intersections". Topological Field Theory, Primitive Forms and Related Topics. pp. 141–175. arXiv:alg-geom/9701016. Bibcode:1998tftp.conf..141G. doi:10.1007/978-1-4612-0705-4_5. ISBN 978-1-4612-6874-1. S2CID 2884104.

Lian, Liu & Yau 1997, 1999a, 1999b, 2000. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (1997). "Mirror principle, I". Asian Journal of Mathematics. 1 (4): 729–763. arXiv:alg-geom/9712011. Bibcode:1997alg.geom.12011L. doi:10.4310/ajm.1997.v1.n4.a5. S2CID 8035522. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (1999a). "Mirror principle, II". Asian Journal of Mathematics. 3: 109–146. arXiv:math/9905006. Bibcode:1999math......5006L. doi:10.4310/ajm.1999.v3.n1.a6. S2CID 17837291. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (1999b). "Mirror principle, III". Asian Journal of Mathematics. 3 (4): 771–800. arXiv:math/9912038. Bibcode:1999math.....12038L. doi:10.4310/ajm.1999.v3.n4.a4. Lian, Bong; Liu, Kefeng; Yau, Shing-Tung (2000). "Mirror principle, IV". Surveys in Differential Geometry. 7: 475–496. arXiv:math/0007104. Bibcode:2000math......7104L. doi:10.4310/sdg.2002.v7.n1.a15. S2CID 1099024.

Intriligator & Seiberg 1996. Intriligator, Kenneth; Seiberg, Nathan (1996). "Mirror symmetry in three-dimensional gauge theories". Physics Letters B. 387 (3): 513–519. arXiv:hep-th/9607207. Bibcode:1996PhLB..387..513I. doi:10.1016/0370-2693(96)01088-X. S2CID 13985843.

doi.org (Global: 2^nd place; English: 2^nd place)

Dixon 1988; Lerche, Vafa & Warner 1989. Dixon, Lance (1988). "Some world-sheet properties of superstring compactifications, on orbifolds and otherwise". ICTP Ser. Theoret. Phys. 4: 67–126. ISBN 978-9971-5-0452-6. Lerche, Wolfgang; Vafa, Cumrun; Warner, Nicholas (1989). "Chiral rings in

{\mathcal {N}}=2

superconformal theories" (PDF). Nuclear Physics B. 324 (2): 427–474. Bibcode:1989NuPhB.324..427L. doi:10.1016/0550-3213(89)90474-4. S2CID 120175708.

Witten 1990. Witten, Edward (1990). "On the structure of the topological phase of two-dimensional gravity". Nuclear Physics B. 340 (2–3): 281–332. Bibcode:1990NuPhB.340..281W. doi:10.1016/0550-3213(90)90449-N.

This was first observed in Kikkawa & Yamasaki 1984 and Sakai & Senda 1986. Kikkawa, Keiji; Yamasaki, Masami (1984). "Casimir effects in superstring theories". Physics Letters B. 149 (4): 357–360. Bibcode:1984PhLB..149..357K. doi:10.1016/0370-2693(84)90423-4. Sakai, Norisuke; Senda, Ikuo (1986). "Vacuum energies of string compactified on torus". Progress of Theoretical Physics. 75 (3): 692–705. Bibcode:1986PThPh..75..692S. doi:10.1143/PTP.75.692.

Candelas et al. 1985. Candelas, Philip; Horowitz, Gary; Strominger, Andrew; Witten, Edward (1985). "Vacuum configurations for superstrings". Nuclear Physics B. 258: 46–74. Bibcode:1985NuPhB.258...46C. doi:10.1016/0550-3213(85)90602-9.

This was observed in Dixon 1988 and Lerche, Vafa & Warner 1989. Dixon, Lance (1988). "Some world-sheet properties of superstring compactifications, on orbifolds and otherwise". ICTP Ser. Theoret. Phys. 4: 67–126. ISBN 978-9971-5-0452-6. Lerche, Wolfgang; Vafa, Cumrun; Warner, Nicholas (1989). "Chiral rings in

{\mathcal {N}}=2

superconformal theories" (PDF). Nuclear Physics B. 324 (2): 427–474. Bibcode:1989NuPhB.324..427L. doi:10.1016/0550-3213(89)90474-4. S2CID 120175708.

Greene & Plesser 1990; Yau & Nadis 2010, p. 158. Greene, Brian; Plesser, Ronen (1990). "Duality in Calabi–Yau moduli space". Nuclear Physics B. 338 (1): 15–37. Bibcode:1990NuPhB.338...15G. doi:10.1016/0550-3213(90)90622-K. Yau, Shing-Tung; Nadis, Steve (2010). The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions. Basic Books. ISBN 978-0-465-02023-2.

Candelas, Lynker & Schimmrigk 1990; Yau & Nadis 2010, p. 163. Candelas, Philip; Lynker, Monika; Schimmrigk, Rolf (1990). "Calabi–Yau manifolds in weighted

\mathbb {P} _{4}

". Nuclear Physics B. 341 (1): 383–402. Bibcode:1990NuPhB.341..383C. doi:10.1016/0550-3213(90)90185-G. Yau, Shing-Tung; Nadis, Steve (2010). The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions. Basic Books. ISBN 978-0-465-02023-2.

Candelas et al. 1991. Candelas, Philip; de la Ossa, Xenia; Green, Paul; Parkes, Linda (1991). "A pair of Calabi–Yau manifolds as an exactly soluble superconformal field theory". Nuclear Physics B. 359 (1): 21–74. Bibcode:1991NuPhB.359...21C. doi:10.1016/0550-3213(91)90292-6.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

{\mathcal {N}}=2

superconformal theories" (PDF). Nuclear Physics B. 324 (2): 427–474. Bibcode:1989NuPhB.324..427L. doi:10.1016/0550-3213(89)90474-4. S2CID 120175708.

{\mathcal {N}}=2

superconformal theories" (PDF). Nuclear Physics B. 324 (2): 427–474. Bibcode:1989NuPhB.324..427L. doi:10.1016/0550-3213(89)90474-4. S2CID 120175708.

Candelas, Lynker & Schimmrigk 1990; Yau & Nadis 2010, p. 163. Candelas, Philip; Lynker, Monika; Schimmrigk, Rolf (1990). "Calabi–Yau manifolds in weighted

\mathbb {P} _{4}

dash.harvard.edu

{\mathcal {N}}=2

superconformal theories" (PDF). Nuclear Physics B. 324 (2): 427–474. Bibcode:1989NuPhB.324..427L. doi:10.1016/0550-3213(89)90474-4. S2CID 120175708.

{\mathcal {N}}=2

superconformal theories" (PDF). Nuclear Physics B. 324 (2): 427–474. Bibcode:1989NuPhB.324..427L. doi:10.1016/0550-3213(89)90474-4. S2CID 120175708.

stanford.edu (Global: 179^th place; English: 183^rd place)

math.stanford.edu

Hori et al. 2003, p. xvi. Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric, eds. (2003). Mirror Symmetry (PDF). Clay Mathematics Monographs. Vol. 1. American Mathematical Society. ISBN 0-8218-2955-6. Archived from the original (PDF) on 2006-09-19.

Hori et al. 2003, p. xix. Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric, eds. (2003). Mirror Symmetry (PDF). Clay Mathematics Monographs. Vol. 1. American Mathematical Society. ISBN 0-8218-2955-6. Archived from the original (PDF) on 2006-09-19.

Hori et al. 2003, p. xviii. Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric, eds. (2003). Mirror Symmetry (PDF). Clay Mathematics Monographs. Vol. 1. American Mathematical Society. ISBN 0-8218-2955-6. Archived from the original (PDF) on 2006-09-19.

Hori et al. 2003, p. 677. Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric, eds. (2003). Mirror Symmetry (PDF). Clay Mathematics Monographs. Vol. 1. American Mathematical Society. ISBN 0-8218-2955-6. Archived from the original (PDF) on 2006-09-19.

Hori et al. 2003, p. 679. Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric, eds. (2003). Mirror Symmetry (PDF). Clay Mathematics Monographs. Vol. 1. American Mathematical Society. ISBN 0-8218-2955-6. Archived from the original (PDF) on 2006-09-19.

web.archive.org (Global: 1^st place; English: 1^st place)

Mirror symmetry (string theory) (English Wikipedia)

ams.org (Global: 451^st place; English: 277^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

dash.harvard.edu

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

stanford.edu (Global: 179^th place; English: 183^rd place)

math.stanford.edu

web.archive.org (Global: 1^st place; English: 1^st place)

Mirror symmetry (string theory) (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

dash.harvard.edu

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

stanford.edu (Global: 179th place; English: 183rd place)

math.stanford.edu

web.archive.org (Global: 1st place; English: 1st place)

ams.org (Global: 451^st place; English: 277^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

harvard.edu (Global: 18^th place; English: 17^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

stanford.edu (Global: 179^th place; English: 183^rd place)

web.archive.org (Global: 1^st place; English: 1^st place)