# Invariance of tautological equations I: conjectures and applications

Journal of the European Mathematical Society (2008)

- Volume: 010, Issue: 2, page 399-413
- ISSN: 1435-9855

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topLee, Y.-P.. "Invariance of tautological equations I: conjectures and applications." Journal of the European Mathematical Society 010.2 (2008): 399-413. <http://eudml.org/doc/277765>.

@article{Lee2008,

abstract = {The main goal of this paper is to introduce a set of conjectures on the relations in the tautological rings. In particular, this framework gives an efficient algorithm to calculate all tautological equations using only finite-dimensional linear algebra. Other applications include the proofs of
Witten’s conjecture on the relations between higher spin curves and Gelfand–Dickey hierarchy and Virasoro conjecture for target manifolds with conformal semisimple quantum cohomology, both for
genus up to two.},

author = {Lee, Y.-P.},

journal = {Journal of the European Mathematical Society},

keywords = {Chow rings; tautological rings; tautological equations; tautological rings; Chow rings; tautological equations},

language = {eng},

number = {2},

pages = {399-413},

publisher = {European Mathematical Society Publishing House},

title = {Invariance of tautological equations I: conjectures and applications},

url = {http://eudml.org/doc/277765},

volume = {010},

year = {2008},

}

TY - JOUR

AU - Lee, Y.-P.

TI - Invariance of tautological equations I: conjectures and applications

JO - Journal of the European Mathematical Society

PY - 2008

PB - European Mathematical Society Publishing House

VL - 010

IS - 2

SP - 399

EP - 413

AB - The main goal of this paper is to introduce a set of conjectures on the relations in the tautological rings. In particular, this framework gives an efficient algorithm to calculate all tautological equations using only finite-dimensional linear algebra. Other applications include the proofs of
Witten’s conjecture on the relations between higher spin curves and Gelfand–Dickey hierarchy and Virasoro conjecture for target manifolds with conformal semisimple quantum cohomology, both for
genus up to two.

LA - eng

KW - Chow rings; tautological rings; tautological equations; tautological rings; Chow rings; tautological equations

UR - http://eudml.org/doc/277765

ER -

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