REDUCED INVARIANTS FROM CUSPIDAL MAPS

被引：5

作者：

Battistella, Luca ^{[1
]}

Carocci, Francesca ^{[2
]}

Manolache, Cristina ^{[3
]}

机构：

[1] Heidelberg Univ, Math Inst, Heidelberg, Germany

[2] Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland

[3] Univ Sheffield, Sch Math & Stat, Sheffield, S Yorkshire, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

GROMOV-WITTEN INVARIANTS; GENUS-ONE; ELLIPTIC-CURVES; MODULAR COMPACTIFICATIONS; STABLE MAPS; SPACE; GEOMETRY;

D O I：

10.1090/tran/8141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider genus one enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the reduced genus one invariants of the quintic threefold, providing a modular interpretation of the latter.

引用

页码：6713 / 6756

页数：44

共 50 条

[21] WITT INVARIANTS FOR SMOOTH PERIODIC MAPS
ALEXANDE.JP
HAMRICK, GC
VICK, JW
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A229 - A229
[22] Invariants of gauss maps of theta divisors
Adams, Malcolm
McCrory, Clint
Shifrin, Ted
Varley, Robert
[J]. Proceedings of Symposia in Pure Mathematics, 1993, 54 (02):
[23] TRACE MAPS, INVARIANTS, AND SOME OF THEIR APPLICATIONS
BAAKE, M
GRIMM, U
JOSEPH, D
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1993, 7 (6-7): : 1527 - 1550
[24] Reidemeister coincidence invariants of fiberwise maps
Koschorke, Ulrich
[J]. TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (10-11) : 1849 - 1858
[25] Initial monomial invariants of holomorphic maps
Dusty Grundmeier
Jiří Lebl
[J]. Mathematische Zeitschrift, 2016, 282 : 371 - 387
[26] CECH HOMOLOGY INVARIANTS OF CONTINUOUS MAPS
PITCHER, E
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (03) : 286 - 287
[27] Cycle Class Maps and Birational Invariants
Hassett, Brendan
Tschinkel, Yuri
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 74 (12) : 2675 - 2698
[28] Higher homotopy invariants for spaces and maps
Blanc, David
Johnson, Mark W.
Turner, James M.
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2021, 21 (05): : 2425 - 2488
[29] On invariants of link maps in dimension four
Lightfoot, Ash
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2016, 25 (11)
[30] Invariants of gauss maps of theta divisors
Adams, Malcolm
McCrory, Clint
Shifrin, Ted
Varley, Robert
[J]. Proceedings of Symposia in Pure Mathematics, 1993, 54 (01):

← 1 2 3 4 5 →