Fetching the paper…
Reading the bibliography…
We define a theory of descendent integration on the moduli spaces of stable pointed disks.
J. P. Solomon and S. B. Tukachinsky, Relative quantum cohomology , arXiv:1906.04795
1906
Earlier work this paper cites.
L. V. Ahlfors and L. Sario, Riemann surfaces , Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960
1960
Earlier work this paper cites.
P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus , Inst. Hautes Études Sci. Publ. Math. (1969), no. 36, 75–109
1969
Earlier work this paper cites.
M. W. Hirsch, Differential topology , Graduate Texts in Mathematics, vol. 33, Springer-Verlag, New York, 1994, Corrected reprint of the 1976 original
1976
Earlier work this paper cites.
E. Witten, Topological sigma models , Comm. Math. Phys. 118
1988
Earlier work this paper cites.
E. Witten, Two-dimensional gravity and intersection theory on moduli space , Surveys in differential geometry (Cambridge, MA, 1990), Lehigh Univ., Bethlehem, PA, 1991, pp. 243–310
1991
Earlier work this paper cites.
M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function , Comm. Math. Phys. 147
1992
Earlier work this paper cites.
E. Witten, Algebraic geometry associated with matrix models of two-dimensional gravity , Topological methods in modern mathematics (Stony Brook, NY, 1991), Publish or Perish, Houston, TX, 1993, pp. 235–269
1993
Earlier work this paper cites.
E. Getzler and R. Pandharipande, Virasoro constraints and the Chern classes of the Hodge bundle , Nuclear Phys. B 530
1998
Earlier work this paper cites.
J. Harris and I. Morrison, Moduli of curves , Graduate Texts in Mathematics, vol. 187, Springer-Verlag, New York, 1998
1998
Earlier work this paper cites.
Y. Eliashberg, A. Givental, and H. Hofer, Introduction to symplectic field theory , no. Special Volume, Part II, 2000, GAFA 2000 (Tel Aviv, 1999), pp. 560–673, doi:10.1007/978-3-0346-0425-3\_4
1999
Earlier work this paper cites.
A. Buryak, E. Clader, and R. J. Tessler, Open r-spin theory I: Foundations , arXiv:2003.01082
2003
Earlier work this paper cites.
2003
Cited alongside, same era.
K. Cieliebak, I. Mundet i Riera, and D. A. Salamon, Equivariant moduli problems, branched manifolds, and the Euler class , Topology 42
2003
Cited alongside, same era.
J.-Y. Welschinger, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry , Invent. Math. 162
2005
Cited alongside, same era.
Y. Eliashberg, Symplectic field theory and its applications , International Congress of Mathematicians. Vol. I, Eur. Math. Soc., Zürich, 2007, pp. 217–246, doi:10.4171/022-1/10
2007
Cited alongside, same era.
M. Mirzakhani, Weil-Petersson volumes and intersection theory on the moduli space of curves , J. Amer. Math. Soc. 20
D. Joyce, On manifolds with corners , Advances in geometric analysis, Adv. Lect. Math. (ALM), vol. 21, Int. Press, Somerville, MA, 2012, pp. 225–258
2012
Later among the works it cites.
O. Fabert and P. Rossi, Topological recursion relations in non-equivariant cylindrical contact homology , J. Symplectic Geom. 11
2013
Later among the works it cites.
A. Buryak, Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary , Letters in Mathematical Physics (2015), 1–22, doi:10.1007/s11005-015-0789-3
2015
Closest in time.
P. Georgieva, Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution , Adv. Math. 301
2016
Closest in time.
A. Alexandrov, A. Buryak, and R. J. Tessler, Refined open intersection numbers and the Kontsevich-Penner matrix model , J. High Energy Phys. (2017), no. 3, 123, front matter+40, doi:10.1007/JHEP03(2017)123
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2007
Cited alongside, same era.
J. P. Solomon, A differential equation for the open Gromov-Witten potential , preprint, 2007
2007
Cited alongside, same era.
C.-H. Cho, Counting real J J -holomorphic discs and spheres in dimension four and six , J. Korean Math. Soc. 45
2008
Cited alongside, same era.
P. Seidel, Fukaya categories and Picard-Lefschetz theory , Zurich Lectures in Advanced Mathematics, European Mathematical Society (EMS), Zürich, 2008, doi:10.4171/063
2008
Cited alongside, same era.
K. Fukaya, Y.-G. Oh, H. Ohta, and K. Ono, Lagrangian intersection Floer theory: anomaly and obstruction. Parts I and II , AMS/IP Studies in Advanced Mathematics, vol. 46, American Mathematical Society, Providence, RI, 2009
2009
Cited alongside, same era.
A. Okounkov and R. Pandharipande, Gromov-Witten theory, Hurwitz numbers, and matrix models , Algebraic geometry—Seattle 2005. Part 1, Proc. Sympos. Pure Math., vol. 80, Amer. Math. Soc., Providence, RI, 2009, pp. 325–414
2009
Cited alongside, same era.
O. Fabert, Gravitational descendants in symplectic field theory , Comm. Math. Phys. 302
2011
Cited alongside, same era.
O. Fabert and P. Rossi, String, dilaton, and divisor equation in symplectic field theory , Int. Math. Res. Not. IMRN (2011), no. 19, 4384–4404, doi:10.1093/imrn/rnq251
2011
Cited alongside, same era.
2017
Closest in time.
A. Buryak and R. J. Tessler, Matrix models and a proof of the open analog of Witten’s conjecture , Comm. Math. Phys. 353
2017
Closest in time.
R. Dijkgraaf and E. Witten, Developments in topological gravity , Internat. J. Modern Phys. A 33
2018
Closest in time.
A. Basalaev and A. Buryak, Open WDVV equations and Virasoro constraints , Arnold Math. J. 5
2019
Closest in time.
X. Chen and A. Zinger, WDVV-type relations for disk Gromov-Witten invariants in dimension 6 , Math. Ann. 379
2021
Closest in time.
H. Hofer, K. Wysocki, and E. Zehnder, Polyfold and Fredholm theory , Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 72, Springer, Cham, [2021] ©2021, doi:10.1007/978-3-030-78007-4
2021
Closest in time.
J. P. Solomon and S. B. Tukachinsky, Point-like bounding chains in open Gromov-Witten theory , Geom. Funct. Anal. 31
2021
Closest in time.