Moduli, Algebraic Cycles, and Invariants

Project Information

MACI

Grant agreement ID: 786580

DOI

10.3030/786580

Project closed

EC signature date 24 April 2018

Start date 1 September 2018

End date 31 August 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 496 055,00

EU contribution

€ 2 496 055,00

Coordinated by

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (33)

Tropicalization of the universal Jacobian

Author(s): Margarida Melo, Samouil Molcho, Filippo Viviani
Published in: Épijournal de Géométrie Algébrique, Issue Volume 6, 2022, Page(s) 1-51, ISSN 2491-6765
Publisher: Episciences
DOI: 10.46298/epiga.2022.8352

Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface).

Author(s): Moreira, Miguel
Published in: Journal of the London Mathematical Society, 106 (1), Issue 5, 2022, Page(s) 154-191, ISSN 1469-7750
Publisher: London Mathematical Society
DOI: 10.48550/arxiv.2008.13746

Higher rank Segre integrals over the Hilbert scheme of points

Author(s): Alina Marian, Dragos Oprea, Rahul Pandharipande
Published in: Journal of the European Mathematical Society, 2021, Page(s) 2979-3015, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1149

Gromov–Witten Invariants of Calabi–Yau Manifolds With Two Kähler Parameters

Author(s): Hyenho Lho
Published in: International Mathematics Research Notices, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz062

Chow rings of stacks of prestable curves I

Author(s): Younghan Bae, Johannes Schmitt
Published in: Forum Math. Sigma, 2022, Page(s) 1-47, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2022.21

The virtual K -theory of Quot schemes of surfaces

Author(s): Noah Arbesfeld, Drew Johnson, Woonam Lim, Dragos Oprea, Rahul Pandharipande
Published in: Journal of Geometry and Physics, Issue 164, 2021, Page(s) 104154, ISSN 0393-0440
Publisher: Elsevier BV
DOI: 10.1016/j.geomphys.2021.104154

Curves on K3 surfaces in divisibility 2

Author(s): Younghan Bae, Tim-Henrik Buelles
Published in: Forum of Mathematics, Sigma, Issue 9, 2021, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2021.6

Higher genus relative Gromov–Witten theory and double ramification cycles

Author(s): H. Fan, L. Wu, F. You
Published in: Journal of the London Mathematical Society, 2020, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12417

Double ramification cycles with target varieties

Author(s): Felix Janda, Rahul Pandharipande, Aaron Pixton, Dimitri Zvonkine
Published in: Journal of Topology, Issue 13/4, 2020, Page(s) 1725-1766, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12174

Gromov-Witten theory of complete intersections via nodal invariants

Author(s): Hulya Arguz, Pierrick Bousseau, Rahul Pandharipande, Dimitri Zvonkine
Published in: Journal of Topology, Issue Volume 16, 2023, Page(s) 264-343, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12284

Witten–Dijkgraaf–Verlinde–Verlinde Equation and its Application to Relative Gromov–Witten Theory

Author(s): Honglu Fan, Longting Wu
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz353

Contact invariants of Q-Gorenstein toric contact manifolds, the Erhart polynomial and Chen-Ruan cohomology

Author(s): Miguel Abreu, Leonardo Macarini, Miguel Moreira
Published in: Advances in Mathematics, Issue Volume 429, 2023, Page(s) 1-50, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109180

GW/PT Descendent Correspondence via Vertex Operators

Author(s): A. Oblomkov, A. Okounkov, R. Pandharipande
Published in: Communications in Mathematical Physics, Issue 374/3, 2020, Page(s) 1321-1359, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03686-4

Tautological relations via $r$-spin structures

Author(s): R. Pandharipande, A. Pixton, D. Zvonkine
Published in: Journal of Algebraic Geometry, Issue 28/3, 2019, Page(s) 439-496, ISSN 1056-3911
Publisher: American Mathematical Society
DOI: 10.1090/jag/736

HIGHER GENUS GROMOV–WITTEN THEORY OF AND ASSOCIATED TO LOCAL CURVES

Author(s): RAHUL PANDHARIPANDE, HSIAN-HUA TSENG
Published in: Forum of Mathematics, Pi, Issue 7, 2019, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.1017/fmp.2019.4

Cohomological field theories with non-tautological classes

Author(s): R. Pandharipande, D. Zvonkine, D. Petersen
Published in: Arkiv för Matematik, Issue 57/1, 2019, Page(s) 191-213, ISSN 0004-2080
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/arkiv.2019.v57.n1.a10

Crepant resolution and the holomorphic anomaly equation for [C3/Z3]

Author(s): Hyenho Lho, Rahul Pandharipande
Published in: Proceedings of the London Mathematical Society, Issue 119/3, 2019, Page(s) 781-813, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12248

The Hilb/Sym correspondence for $${\mathbb {C}}^2$$ C 2 : descendents and Fourier–Mukai

Author(s): Rahul Pandharipande, Hsian-Hua Tseng
Published in: Mathematische Annalen, Issue 375/1-2, 2019, Page(s) 509-540, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-019-01891-8

Holomorphic Anomaly Equations for the Formal Quintic

Author(s): Hyenho Lho, Rahul Pandharipande
Published in: Peking Mathematical Journal, Issue 2/1, 2019, Page(s) 1-40, ISSN 2096-6075
Publisher: Peking University
DOI: 10.1007/s42543-018-0008-0

Structures in genus‐zero relative Gromov–Witten theory

Author(s): H. Fan, L. Wu, F. You
Published in: Journal of Topology, Issue 13/1, 2020, Page(s) 269-307, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12131

On contact invariants of non-simply connected Gorenstein toric contact manifolds

Author(s): Miguel Abreu, Leonardo Macarini, Miguel Moreira
Published in: Mathematical Research Letters, Issue Volume 29, 2022, Page(s) 1-42, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2022.v29.n1.a1

Chow rings of stacks of prestable curves II

Author(s): Younghan Bae, Johannes Schmitt
Published in: J. reine angew. Math, Issue 800, 2023, Page(s) 55-106, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2023-0018

Virasoro constraints for stable pairs on toric 3-folds

Author(s): Miguel Moreira, Alexi Oblomkov, Andrei Okounkov, Rahul Pandharipande
Published in: Forum of Mathematics, Pi, 2022, Page(s) 1-62, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.1017/fmp.2022.4

The logarithmic Picard group and its tropicalization

Author(s): Samouil Molcho, Jonathan Wise
Published in: Compositio Mathematica, 2022, Page(s) 1477--1562, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x22007527

Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local

Author(s): Pierrick Bousseau, Honglu Fan, Shuai Guo, Longting Wu
Published in: Forum of Mathematics, Pi, Issue 9, 2021, Page(s) 1-57, ISSN 2050-5086
Publisher: Cambridge University
DOI: 10.1017/fmp.2021.3

The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves

Author(s): Samouil Molcho, Rahul Pandharipande, Johannes Schmitt
Published in: Compositio Mathematica, 2023, Page(s) 306--354, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x22007874

Rationality of descendent series for Hilbert and Quot schemes of surfaces

Author(s): Drew Johnson, Dragos Oprea, Rahul Pandharipande
Published in: Selecta Mathematica, Issue 27/2, 2021, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-021-00638-1

Tevelev degrees and Hurwitz moduli spaces

Author(s): Alessio Cela, Rahul Pandharipande, Johannes Schmitt
Published in: Math. Proc. Cambridge Philos. Soc., 2022, Page(s) 479--510, ISSN 0305-0041
Publisher: Cambridge University Press
DOI: 10.1017/s0305004121000670

Relations in the tautological ring of the moduli space of curves

Author(s): R. Pandharipande, A. Pixton
Published in: Pure and Applied Mathematics Quarterly, Issue 17/2, 2021, Page(s) 717-771, ISSN 1558-8599
Publisher: International Press
DOI: 10.4310/pamq.2021.v17.n2.a7

Tautological relations for stable maps to a target variety

Author(s): Younghan Bae
Published in: Arkiv för Matematik, Issue 58/1, 2020, Page(s) 19-38, ISSN 0004-2080
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/arkiv.2020.v58.n1.a2

Zero cycles on the moduli space of curves

Author(s): Rahul Pandharipande, Johannes Schmitt
Published in: Épijournal de Géométrie Algébrique, Issue Volume 4, 2020, ISSN 2491-6765
Publisher: Episciences
DOI: 10.46298/epiga.2020.volume4.5601

Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics

Author(s): Dragos Oprea, Rahul Pandharipande
Published in: Geometry and Topology, 2021, Page(s) 3425-3505, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2021.25.3425

Pixton's formula and Abel-Jacobi theory on the Picard stack

Author(s): Younghan Bae, David Holmes, Rahul Pandharipande, Johannes Schmitt, Rosa Schwarz
Published in: Acta Mathematics, Issue Number 2, 2023, Page(s) 205-319, ISSN 0001-5962
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/acta.2023.v230.n2.a1

Thesis and dissertations (2)

Symmetry and enumerative geometry of Calabi-Yau spaces

Author(s): Buelles, Tim-Henrik
Published in: 2022, Page(s) 1-136
Publisher: ETH Zurich
DOI: 10.3929/ethz-b-000550832

Geometrically defined cycles on moduli spaces of curves

Author(s): Schmitt, Johannes
Published in: Issue 4, 2019
Publisher: ETH Zurich
DOI: 10.3929/ethz-b-000358887

Conference proceedings (1)

"Counting induced subgraphs: An algebraic approach to #W[1]-hardness"

Author(s): Dörfler, Julian; Roth, Marc; Schmitt, Johannes; Wellnitz, Philip
Published in: Leibniz International Proceedings in Informatics, 138, Issue 2, 2019
Publisher: Dagstuhl Publishing
DOI: 10.4230/LIPIcs.MFCS.2019.26