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In a previous paper (arXiv:0704.1001), Losev, me, and Shneiberg constructed a full descendant potential associated to an arbitrary cyclic Hodge dGBV algebra.
D. Mumford, Towards an enumerative geometry of the moduli space of curves in Arithmetic and geometry II (M. Artin, J. Tate, eds.), Progress in Math., vol. 36, Birkhäuser, Basel, 1983
1983
Earlier work this paper cites.
E. Witten. Two dimensional gravity and intersection theory on moduli space, Surveys in Differential Geometry, vol. 1 (1991), 243–310
1991
Earlier work this paper cites.
S. Keel, Intersection theory of moduli space of stable n n -pointed curves of genus zero. Trans. Amer. Math. Soc. 330
1992
Earlier work this paper cites.
B. Zwiebach, Closed string field theory: quantum action and the Batalin-Vilkovisky master equation, Nuclear Phys. B390
1993
Earlier work this paper cites.
M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Comm. Math. Phys. 165
1994
Earlier work this paper cites.
E. Getzler, Batalin-Vilkovisky algebras and two-dimensional topological field theories, Comm. Math. Phys. 159
1994
Earlier work this paper cites.
R. Dijkgraaf, Mirror symmetry and elliptic curves, The moduli space of curves (Texel Island, 1994), 149–163, Progr. Math., 129, Birkhäuser Boston, Boston, MA, 1995
1995
Earlier work this paper cites.
T. Kimura, J. Stasheff, A. Voronov, On operad structures of moduli spaces and string theory. Comm. Math. Phys. 171
1995
Earlier work this paper cites.
B. Dubrovin, Geometry of 2 2 D topological field theories. Integrable systems and quantum groups (Montecatini Terme, 1993), 120–348, Lecture Notes in Math., 1620, Springer, Berlin, 1996
1996
Earlier work this paper cites.
E. Getzler, Intersection theory on ℳ ¯ 1 , 4 \overline{\mathcal{M}}_{1,4} and elliptic Gromov-Witten invariants. J. Amer. Math. Soc. 10
1997
Earlier work this paper cites.
S. Barannikov, M. Kontsevich, Frobenius manifolds and formality of Lie algebras of polyvector fields, Internat. Math. Res. Notices 1998
1998
Earlier work this paper cites.
T. Eguchi, C.-S. Xiong, Quantum cohomology at higher genus: topological recursion relations and Virasoro conditions, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
E. Getzler, Topological recursion relations in genus 2 2 , Integrable Systems and Algebraic Geometry (Kobe/Kyoto, 1997), World Scientific, River Edge, NJ, 1998, pp. 73–106
1998
Earlier work this paper cites.
E. Getzler, M. Kapranov, Modular operads, Compositio Math. 110
1998
Cited alongside, same era.
A. Losev, Hodge strings and elements of K. Saito’s theory of primitive form. Topological field theory, primitive forms and related topics (Kyoto, 1996), 305–335, Progr. Math., 160, Birkhäuser Boston, Boston, MA, 1998
1998
Cited alongside, same era.
S. Merkulov, Formality of canonical symplectic complexes and Frobenius manifolds. Internat. Math. Res. Notices 1998
1998
Cited alongside, same era.
Yu. I. Manin, Three constructions of Frobenius manifolds:a comparative study, Asian J. Math. 3
1999
Cited alongside, same era.
Yu. Manin, Frobenius manifolds, quantum cohomology, and moduli spaces. American Mathematical Society Colloquium Publications, 47. American Mathematical Society, Providence, RI, 1999
1999
Cited alongside, same era.
A. Givental, Symplectic geometry of Frobenius structures, In “Frobenius manifolds”, 91–112, Aspects Math., E36, Vieweg, Wiesbaden, 2004
2004
Later among the works it cites.
C. Faber, R. Pandharipande, Relative maps and tautological classes, J. Eur. Math. Soc. (JEMS) 7
2005
Later among the works it cites.
T. Kimura, X. Liu, A genus-3 topological recursion relation. Comm. Math. Phys. 262
2006
Later among the works it cites.
K. Costello, Renormalization of the BCOV action, talk at Augsburg, May 2007
2007
Later among the works it cites.
M. Kazarian, privite communications, 2007
2007
Later among the works it cites.
M. Kazarian, Deformations of cohomological field theories, preprint 2007
2007
Later among the works it cites.
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P. Belorousski, R. Pandharipande, A descendent relation in genus 2, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29
2000
Cited alongside, same era.
S. Barannikov, Quantum periods. I. Semi-infinite variations of Hodge structures, Internat. Math. Res. Notices 2001
2001
Cited alongside, same era.
A. Givental, Semisimple Frobenius structures at higher genus, Internat. Math. Res. Notices 2001
2001
Cited alongside, same era.
A. Givental, Gromov-Witten invariants and quantization of quadratic hamiltonians, Mosc. Math. J. 1
2001
Cited alongside, same era.
S. Barannikov, Non-commutative periods and mirror symmetry in higher dimensions, Comm. Math. Phys. 228
2002
Cited alongside, same era.
E.-N. Ionel, Topological recursive relations in H 2 g ( ℳ g , n ) H^{2g}(\mathcal{M}_{g,n}) , Invent. Math. 148
2002
Cited alongside, same era.
E. Getzler, The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants, Frobenius manifolds, 45–89, Aspects Math., E36, Vieweg, Wiesbaden, 2004
2004
Cited alongside, same era.
A. Losev, S. Shadrin, From Zwiebach invariants to Getzler relation, Comm. Math. Phys. 271
2007
Later among the works it cites.
A. Losev, S. Shadrin, I. Shneiberg, Tautological relations in Hodge field theory, Nuclear Phys. B 786
2007
Later among the works it cites.
J.-S. Park, Semi-classical quantum field theories and Frobenius manifolds, Lett. Math. Phys. 81
2007
Later among the works it cites.
S. Shadrin, A definition of descendants at one point in graph calculus, Adv. Theor. Math. Phys. 11
2007
Later among the works it cites.
S. Shadrin, I. Shneiberg, Belorousski-Pandharipande relation in dGBV algebras, J. Geom. Phys. 57
2007
Later among the works it cites.
I. Shneiberg, Topological recursion relation in ℳ ¯ 2 , 2 \overline{\mathcal{M}}_{2,2} , Funct. Anal. Appl. 42
2008
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