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Post Closed as "Duplicate" by user6976
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Francesco Polizzi
Francesco Polizzi
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How to prove that $\phi: \;Mod\;\mathrm Mod(S_g)\to \mathrm Sp(2g, \mathbb{Z})$ is an epimorphism?

How do I prove that homomorphism $\phi : \; Mod(S_g)\to Sp(2g, \mathbb{Z})$$\phi : \; \mathrm{Mod}(S_g)\to \mathrm{Sp}(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way.

I would love to get detailed answers in order to understand this better. Thanks in advance.

How to prove that $\phi: \;Mod(S_g)\to Sp(2g, \mathbb{Z})$ is an epimorphism?

How do I prove that homomorphism $\phi : \; Mod(S_g)\to Sp(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way.

I would love to get detailed answers in order to understand this better. Thanks in advance.

How to prove that $\phi: \;\mathrm Mod(S_g)\to \mathrm Sp(2g, \mathbb{Z})$ is an epimorphism?

How do I prove that homomorphism $\phi : \; \mathrm{Mod}(S_g)\to \mathrm{Sp}(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way.

I would love to get detailed answers in order to understand this better.

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G.Tverisovskikh
G.Tverisovskikh
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Prove How to prove that $\phi: \;Mod(S_g)\to Sp(2g, \mathbb{Z})$ is an epimorphism?

How do I prove that homomorphism $\phi : \; Mod(S_g)\to Sp(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way. I

I would love to get detailed answers in order to understand this better. Thanks in advance.

Prove that $\phi: \;Mod(S_g)\to Sp(2g, \mathbb{Z})$ is an epimorphism

How do I prove that homomorphism $\phi : \; Mod(S_g)\to Sp(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way. I would love to get detailed answers in order to understand this better. Thanks in advance.

How to prove that $\phi: \;Mod(S_g)\to Sp(2g, \mathbb{Z})$ is an epimorphism?

How do I prove that homomorphism $\phi : \; Mod(S_g)\to Sp(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way.

I would love to get detailed answers in order to understand this better. Thanks in advance.

Source Link
G.Tverisovskikh
G.Tverisovskikh
  • 29
  • 2

Prove that $\phi: \;Mod(S_g)\to Sp(2g, \mathbb{Z})$ is an epimorphism

How do I prove that homomorphism $\phi : \; Mod(S_g)\to Sp(2g, \mathbb{Z})$ (induced by the action of mapping class group of a surface on integer homologies of a surface) is an epimorphism? My idea was to work with generators, but I was not able to prove it this way. I would love to get detailed answers in order to understand this better. Thanks in advance.