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https://doi.org/10.3336/gm.58.1.09

Big flip graphs and their automorphism groups

Assaf Bar-Natan orcid id orcid.org/0000-0002-2715-788X ; Department of Mathematics, Brandeis University, 415 South Street, Waltham, MA 02453, USA
Advay Goel ; Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, USA
Brendan Halstead ; nbsp
Paul Hamrick ; UNC Chapel Hill
Sumedh Shenoy ; Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, USA
Rishi Verma ; Stanford University


Puni tekst: engleski pdf 382 Kb

str. 125-134

preuzimanja: 215

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Sažetak

In this paper, we study the relationship between the mapping class
group of an infinite-type surface and the simultaneous flip graph,
a variant of the flip graph for infinite-type surfaces defined by
Fossas and Parlier [6]. We show that the extended
mapping class group is isomorphic to a proper subgroup of the
automorphism group of the flip graph, unlike in the finite-type
case. This shows that Ivanov's metaconjecture, which states that
any “sufficiently rich" object associated to a finite-type surface
has the extended mapping class group as its automorphism group, does
not extend to simultaneous flip graphs of infinite-type surfaces.

Ključne riječi

Flip graphs, infinite-type surfaces, mapping class groups, Ivanov

Hrčak ID:

304396

URI

https://hrcak.srce.hr/304396

Datum izdavanja:

20.6.2023.

Posjeta: 499 *





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