Uniform lower bound for intersection numbers of ψ-classes

Standard

Uniform lower bound for intersection numbers of ψ-classes. / Delecroix, Vincent; Goujard, Élise; Zograf, Peter; Zorich, Anton.

In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 16, 086, 2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Delecroix, V, Goujard, É, Zograf, P & Zorich, A 2020, 'Uniform lower bound for intersection numbers of ψ-classes', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 16, 086. https://doi.org/10.3842/SIGMA.2020.086

APA

Delecroix, V., Goujard, É., Zograf, P., & Zorich, A. (2020). Uniform lower bound for intersection numbers of ψ-classes. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16, [086]. https://doi.org/10.3842/SIGMA.2020.086

Vancouver

Delecroix V, Goujard É, Zograf P, Zorich A. Uniform lower bound for intersection numbers of ψ-classes. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020;16. 086. https://doi.org/10.3842/SIGMA.2020.086

Author

Delecroix, Vincent ; Goujard, Élise ; Zograf, Peter ; Zorich, Anton. / Uniform lower bound for intersection numbers of ψ-classes. In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020 ; Vol. 16.

BibTeX

@article{d177f9584bb84c85bdb501852d1fa30d,

title = "Uniform lower bound for intersection numbers of ψ-classes",

abstract = "We approximate intersection numbers [formula presented] on Deligne–Mumford{\textquoteright}s moduli space Mg,n of genus g stable complex curves with n marked points by certain closed-form expressions in d1, …, dn. Conjecturally, these approximations become asymptotically exact uniformly in di when g → ∞ and n remains bounded or grows slowly. In this note we prove a lower bound for the intersection numbers in terms of the above-mentioned approx-imating expressions multiplied by an explicit factor λ(g, n), which tends to 1 when g → ∞ and d1 + · · · + dn−2 = o(g).",

keywords = "Intersection numbers, Large genus asymptotics, Moduli space of curves, Witten–Kontsevich correlators, ψ-classes",

author = "Vincent Delecroix and {\'E}lise Goujard and Peter Zograf and Anton Zorich",

year = "2020",

doi = "10.3842/SIGMA.2020.086",

language = "English",

volume = "16",

journal = "Symmetry, Integrability and Geometry - Methods and Applications",

issn = "1815-0659",

publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

}

RIS

TY - JOUR

T1 - Uniform lower bound for intersection numbers of ψ-classes

AU - Delecroix, Vincent

AU - Goujard, Élise

AU - Zograf, Peter

AU - Zorich, Anton

PY - 2020

Y1 - 2020

N2 - We approximate intersection numbers [formula presented] on Deligne–Mumford’s moduli space Mg,n of genus g stable complex curves with n marked points by certain closed-form expressions in d1, …, dn. Conjecturally, these approximations become asymptotically exact uniformly in di when g → ∞ and n remains bounded or grows slowly. In this note we prove a lower bound for the intersection numbers in terms of the above-mentioned approx-imating expressions multiplied by an explicit factor λ(g, n), which tends to 1 when g → ∞ and d1 + · · · + dn−2 = o(g).

AB - We approximate intersection numbers [formula presented] on Deligne–Mumford’s moduli space Mg,n of genus g stable complex curves with n marked points by certain closed-form expressions in d1, …, dn. Conjecturally, these approximations become asymptotically exact uniformly in di when g → ∞ and n remains bounded or grows slowly. In this note we prove a lower bound for the intersection numbers in terms of the above-mentioned approx-imating expressions multiplied by an explicit factor λ(g, n), which tends to 1 when g → ∞ and d1 + · · · + dn−2 = o(g).

KW - Intersection numbers

KW - Large genus asymptotics

KW - Moduli space of curves

KW - Witten–Kontsevich correlators

KW - ψ-classes

UR - http://www.scopus.com/inward/record.url?scp=85093907979&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2020.086

DO - 10.3842/SIGMA.2020.086

M3 - Article

AN - SCOPUS:85093907979

VL - 16

JO - Symmetry, Integrability and Geometry - Methods and Applications

JF - Symmetry, Integrability and Geometry - Methods and Applications

SN - 1815-0659

M1 - 086

ER -

ID: 98426195