Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant

In this paper, we construct an invariant for irreducible holomorphic symplectic manifolds of [Formula: see text]-type with antisymplectic involution by using the equivariant analytic torsion. Moreover, we give a formula for the complex Hessian of the logarithm of the invariant.

Authors

Institutions

Publication Details

Journal
International Journal of Mathematics
Published
2025-02-04
DOI
https://doi.org/10.1142/s0129167x25500107
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant

Dai Imaike
International Journal of Mathematics
Geometric and Algebraic Topology
article

Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant

Dai Imaike
article en

Abstract

In this paper, we construct an invariant for irreducible holomorphic symplectic manifolds of [Formula: see text]-type with antisymplectic involution by using the equivariant analytic torsion. Moreover, we give a formula for the complex Hessian of the logarithm of the invariant.

International Journal of MathematicsVol. 36(07)
Kyoto University (JP)
Openalex Percentile: Top 95%
Geometric and Algebraic Topology
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant — Dai Imaike · International Journal of Mathematics (2025) | TGRS Research Map | TGRS