Hyperbolic String Vertices

U. Naseer and B. Zwiebach, “Extremal isosystolic metrics with multiple bands of crossing geodesics,” arXiv:1903.11755 [math.DG]

Original

1903

Earlier work this paper cites.

J. E. Andersen, G. Borot, S. Charbonnier, V. Delecroix, A. Giacchetto, D. Lewanski, C. Wheeler, “Topological recursion for Masur-Veech volumes,” arXiv:1905.10352; J. E. Andersen, G. Borot, and N. Orantin, ‘Geometric Recursion,” eprint arXiv:1711.04729

Original

1905

Earlier work this paper cites.

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L. Keen, “On fundamental domains and the Teichmüller modular group,” in Contributions to Analysis, a collection of papers dedicated to Lipman Bers (I. V. Ahlfors et al., eds), Academic Press, London-New York-San Francisco (1974) 185-194

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F. Jenni, Comment. Math. Helv., 59(2):193-203, 1984

1984

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1988

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T. Kugo, H. Kunitomo and K. Suehiro, “Nonpolynomial Closed String Field Theory,” Phys. Lett. B 226

1989

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M. Saadi and B. Zwiebach, “Closed String Field Theory from Polyhedra,” Annals Phys. 192

1989

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H. Sonoda and B. Zwiebach, “Closed String Field Theory Loops With Symmetric Factorizable Quadratic Differentials,” Nucl. Phys. B 331

1990

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S. A. Wolpert, “The hyperbolic metric and the geometry of the universal curve,” J. Differential Geometry 31

1990

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B. Zwiebach, “How covariant closed string theory solves a minimal-area problem,” Commun. Math. Phys. 136

1991

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P. Buser, “Geometry and spectra of compact Riemann surfaces,” Birkhäuser Boston 1992

1992

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B. Zwiebach, “Closed string field theory: Quantum action and the B-V master equation,” Nucl. Phys. B 390

1993

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A. Sen and B. Zwiebach, “Quantum background independence of closed string field theory,” Nucl. Phys. B 423

1994

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H. Hata and B. Zwiebach, “Developing the covariant Batalin-Vilkovisky approach to string theory,” Annals Phys. 229

1994

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A. Sen and B. Zwiebach, “Background independent algebraic structures in closed string field theory,” Commun. Math. Phys. 177

1996

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H. Tanigawa, “Grafting, harmonic maps and projective structures on surfaces,” J. Differential Geometry 47

1997

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M. Mirzakhani, “Weil-Petersson volumes and intersection theory on the moduli space of curves,” J. Am. Math. Soc. 20, no. 01, 1 (2007). doi:10.1090/S0894-0347-06-00526-1

2007

Later among the works it cites.

K. Obitsu and S. A. Wolpert, “Grafting hyperbolic metrics and Eisenstein series,” Math. Ann. 341

Original

2008

Later among the works it cites.

D. Dumas and M. Wolf, “Projective structures, grafting and measured laminations,” Geometry & Topology 12 (2008) 351-386 [eprint arXiv:0712.0968]

Original

2008

Later among the works it cites.

D. Dumas, ‘Survey: Complex projective structures.’ In Handbook of TeichmŸller Theory, Volume II. Ed. Athanase Papadopoulos. EMS, 2009. doi:10.4171/055

2009

Later among the works it cites.

G. Mondello, “Riemann surfaces with boundary and natural triangulations of the Teichmüller space,” J. Eur. Math. Soc. (JEMS) 13 (2011), pp. 635-684 [eprint arXiv:0804.0605]