Connective models for topological modular
forms of level n

Lennart Meier

doi:10.2140/agt.2023.23.3553

Connective models for topological modular forms of level n

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

Abstract

We construct and study connective versions of topological modular forms of higher
level like tmf1.n/. In particular, we use them to realize Hirzebruch’s level-n genus as
a map of ring spectra.

Original language	English
Pages (from-to)	3553-3586
Number of pages	34
Journal	Algebraic & Geometric Topology
Volume	23
Issue number	8
DOIs	https://doi.org/10.2140/agt.2023.23.3553
Publication status	Published - 5 Nov 2023

Bibliographical note

Publisher Copyright:
© 2023 MSP (Mathematical Sciences Publishers).

Keywords

elliptic genera
equivariant
topological modular forms

Access to Document

10.2140/agt.2023.23.3553Licence: CC BY

agt-v23-n8-p04-sFinal published version, 649 KBLicence: CC BY

Cite this

@article{acfeda3ec15c41d4a48c371cea4d7da1,

title = "Connective models for topological modular forms of level n",

abstract = "We construct and study connective versions of topological modular forms of higherlevel like tmf1.n/. In particular, we use them to realize Hirzebruch{\textquoteright}s level-n genus asa map of ring spectra.",

keywords = "elliptic genera, equivariant, topological modular forms",

author = "Lennart Meier",

note = "Publisher Copyright: {\textcopyright} 2023 MSP (Mathematical Sciences Publishers).",

year = "2023",

month = nov,

day = "5",

doi = "10.2140/agt.2023.23.3553",

language = "English",

volume = "23",

pages = "3553--3586",

journal = "Algebraic & Geometric Topology",

issn = "1472-2747",

publisher = "Mathematical Sciences Publishers",

number = "8",

}

TY - JOUR

T1 - Connective models for topological modular forms of level n

AU - Meier, Lennart

PY - 2023/11/5

Y1 - 2023/11/5

N2 - We construct and study connective versions of topological modular forms of higherlevel like tmf1.n/. In particular, we use them to realize Hirzebruch’s level-n genus asa map of ring spectra.

AB - We construct and study connective versions of topological modular forms of higherlevel like tmf1.n/. In particular, we use them to realize Hirzebruch’s level-n genus asa map of ring spectra.

KW - elliptic genera

KW - equivariant

KW - topological modular forms

UR - http://www.scopus.com/inward/record.url?scp=85176439299&partnerID=8YFLogxK

U2 - 10.2140/agt.2023.23.3553

DO - 10.2140/agt.2023.23.3553

M3 - Article

SN - 1472-2747

VL - 23

SP - 3553

EP - 3586

JO - Algebraic & Geometric Topology

JF - Algebraic & Geometric Topology

IS - 8

ER -