In this thesis I give a new description for the moduli space of stable n pointed curves of genus zero and explicitly specify a natural isomorphism and inverse between them that preserves many important properties. I also give a natural description for the universal curve of this space. These descriptions are explicit and defined in a straight forward way. I also compute the tangent bundle of this space. In the second part of the thesis I compute the ordinary integral cohomology ring from the above description and specify a basis for it.Comment: This is the previously unpublished PhD thesis of Daniel Singh, who sadly passed away in 2020. Questions about the mathematical content can be directed to the thesis supervisor, Neil Stricklan
We describe how one can calculate the first and second rational (co)homology groups of the moduli sp...
Here we investigate the rational cohomology of the moduli space ℳ̄ 0, n (ℙ r , d ) of degree d stabl...
We compute the Poincaré polynomial and the cohomology algebra with rational coefficients of the mani...
Here we use elementary combinatorial arguments to give explicit formulae and relations for some coho...
Here we use elementary combinatorial arguments to give explicit formulae and relations for some coho...
We compute the Poincaré polynomial and the cohomology algebra with rational coefficients of the mani...
My lectures will be devoted to the birational geometry of M g, the moduli space of stable curves of ...
We give a recursive algorithm for computing the character of the cohomology of the moduli space of s...
We prove that the rational cohomology $H^i(\mathcal{T}_g;\mathbf{Q})$ of the moduli space of trigona...
The moduli spaces \barMg,n of stable n-pointed complex curves of genus g carry natural rational coho...
AbstractA weighted pointed curve consists of a nodal curve and a sequence of marked smooth points, e...
As pointed out in Arbarello and Cornalba ( J. Alg. Geom. 5 (1996), 705–749), a theorem due to Di Fra...
We describe how one can calculate the first and second rational (co)homology groups of the moduli sp...
AbstractIn this work we describe the Chen–Ruan cohomology of the moduli stack of smooth and stable g...
The Deligne-Mumford moduli spaces of genus g n-pointed stable curves classify how algebraic families...
We describe how one can calculate the first and second rational (co)homology groups of the moduli sp...
Here we investigate the rational cohomology of the moduli space ℳ̄ 0, n (ℙ r , d ) of degree d stabl...
We compute the Poincaré polynomial and the cohomology algebra with rational coefficients of the mani...
Here we use elementary combinatorial arguments to give explicit formulae and relations for some coho...
Here we use elementary combinatorial arguments to give explicit formulae and relations for some coho...
We compute the Poincaré polynomial and the cohomology algebra with rational coefficients of the mani...
My lectures will be devoted to the birational geometry of M g, the moduli space of stable curves of ...
We give a recursive algorithm for computing the character of the cohomology of the moduli space of s...
We prove that the rational cohomology $H^i(\mathcal{T}_g;\mathbf{Q})$ of the moduli space of trigona...
The moduli spaces \barMg,n of stable n-pointed complex curves of genus g carry natural rational coho...
AbstractA weighted pointed curve consists of a nodal curve and a sequence of marked smooth points, e...
As pointed out in Arbarello and Cornalba ( J. Alg. Geom. 5 (1996), 705–749), a theorem due to Di Fra...
We describe how one can calculate the first and second rational (co)homology groups of the moduli sp...
AbstractIn this work we describe the Chen–Ruan cohomology of the moduli stack of smooth and stable g...
The Deligne-Mumford moduli spaces of genus g n-pointed stable curves classify how algebraic families...
We describe how one can calculate the first and second rational (co)homology groups of the moduli sp...
Here we investigate the rational cohomology of the moduli space ℳ̄ 0, n (ℙ r , d ) of degree d stabl...
We compute the Poincaré polynomial and the cohomology algebra with rational coefficients of the mani...