Homology of the open moduli space of curves

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Standard

Homology of the open moduli space of curves. / Madsen, Ib Henning.

Handbook of Teichmüller Theory. red. / Athanase Papadopoulos. Bind 3 European Mathematical Society, 2012. s. 717–746 (I R M A Lectures in Mathematics and Theoretical Physics, Bind 17).

Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › fagfællebedømt

Harvard

Madsen, IH 2012, Homology of the open moduli space of curves. i A Papadopoulos (red.), Handbook of Teichmüller Theory. bind 3, European Mathematical Society, I R M A Lectures in Mathematics and Theoretical Physics, bind 17, s. 717–746. https://doi.org/10.4171/103

APA

Madsen, I. H. (2012). Homology of the open moduli space of curves. I A. Papadopoulos (red.), Handbook of Teichmüller Theory (Bind 3, s. 717–746). European Mathematical Society. I R M A Lectures in Mathematics and Theoretical Physics Bind 17 https://doi.org/10.4171/103

Vancouver

Madsen IH. Homology of the open moduli space of curves. I Papadopoulos A, red., Handbook of Teichmüller Theory. Bind 3. European Mathematical Society. 2012. s. 717–746. (I R M A Lectures in Mathematics and Theoretical Physics, Bind 17). https://doi.org/10.4171/103

Author

Madsen, Ib Henning. / Homology of the open moduli space of curves. Handbook of Teichmüller Theory. red. / Athanase Papadopoulos. Bind 3 European Mathematical Society, 2012. s. 717–746 (I R M A Lectures in Mathematics and Theoretical Physics, Bind 17).

Bibtex

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title = "Homology of the open moduli space of curves",
abstract = "This is a survey on the proof of a generalized version of the Mumford conjecture obtained in joint work with M. Weiss stating that a certain map between some classifying spaces which a priori have different natures induces an isomorphism at the level of integral homology. We also discuss our proof of the original Mumford conjecture stating that the stable rational cohomology of the moduli space of Riemann surfaces is a certain polynomial algebra generated by the Mumford–Morita–Miller cohomology classes of even degrees.",
author = "Madsen, {Ib Henning}",
year = "2012",
doi = "10.4171/103",
language = "English",
isbn = "978-3-03719-103-3",
volume = "3",
series = "I R M A Lectures in Mathematics and Theoretical Physics",
pages = "717–746",
editor = "Athanase Papadopoulos",
booktitle = "Handbook of Teichm{\"u}ller Theory",
publisher = "European Mathematical Society",

}

RIS

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T1 - Homology of the open moduli space of curves

AU - Madsen, Ib Henning

PY - 2012

Y1 - 2012

N2 - This is a survey on the proof of a generalized version of the Mumford conjecture obtained in joint work with M. Weiss stating that a certain map between some classifying spaces which a priori have different natures induces an isomorphism at the level of integral homology. We also discuss our proof of the original Mumford conjecture stating that the stable rational cohomology of the moduli space of Riemann surfaces is a certain polynomial algebra generated by the Mumford–Morita–Miller cohomology classes of even degrees.

AB - This is a survey on the proof of a generalized version of the Mumford conjecture obtained in joint work with M. Weiss stating that a certain map between some classifying spaces which a priori have different natures induces an isomorphism at the level of integral homology. We also discuss our proof of the original Mumford conjecture stating that the stable rational cohomology of the moduli space of Riemann surfaces is a certain polynomial algebra generated by the Mumford–Morita–Miller cohomology classes of even degrees.

U2 - 10.4171/103

DO - 10.4171/103

M3 - Book chapter

SN - 978-3-03719-103-3

VL - 3

T3 - I R M A Lectures in Mathematics and Theoretical Physics

SP - 717

EP - 746

BT - Handbook of Teichmüller Theory

A2 - Papadopoulos, Athanase

PB - European Mathematical Society

ER -

ID: 45172473