Ritwik's user avatar
Ritwik's user avatar
Ritwik's user avatar
Ritwik
  • Member for 14 years
  • Last seen more than 3 years ago
  • Stony Brook
41 votes
3 answers
3k views

Can one recover the smooth Gauss Bonnet theorem from the combinatorial Gauss Bonnet theorem as an appropriate limit?

17 votes
3 answers
2k views

If a formal power series over the complex numbers satisfies a polynomial identity, does it imply that the power series has a radius of convergence?

16 votes
5 answers
1k views

Take contraction wrt a vector field twice and define kernel mod image. Does that give anything interesting?

13 votes
3 answers
5k views

Can the hyperbolic plane be immersed in three dimensional Euclidean space, if we are only looking for a weak solution?

11 votes
1 answer
684 views

Is there a tropical geometric proof for counting genus g curves in any n dimensional projective space?

10 votes
1 answer
537 views

Can one use Brownian motion to prove that two manifolds are not conformally equivalent?

9 votes
1 answer
905 views

Do partitions of unity exist if we impose additional conditions on the derivatives?

9 votes
4 answers
948 views

What does it mean when we say we have computed a number to a certain accuracy using a probabilistic algorithm?

9 votes
3 answers
2k views

Is there a natural form representing the Thom class of a vector bundle, which when pulled back via the zero section represents the Euler class on the level of forms?

8 votes
2 answers
412 views

Are there analogous statements for the number of zeros of a section in terms of the Euler class, even when the relevant spaces are not manifolds?

8 votes
1 answer
778 views

Does there always exist a line bundle whose Chern class represents an integer symplectic form?

7 votes
1 answer
674 views

Are genus zero Gromov Witten Invariants on Del-Pezzo surfaces enumerative?

6 votes
1 answer
175 views

Is there an algorithm to find out the number of small solutions to a polynomial equation, when we vary all the coefficients?

5 votes
1 answer
444 views

Can one use the continuity method to show that the two dimensional hyperbolic space can be immersed in five dimensional Euclidean space?

5 votes
0 answers
411 views

Is there an appropriate weighted Sobolev space to include exponential map and projection map?

5 votes
2 answers
2k views

Is there a formula for the total Chern Class of the tangent space of a projectivized vector bundle?

5 votes
1 answer
944 views

How does one compute the first Chern class of a Line bundle defined as the Kernel of a linear map?

5 votes
1 answer
362 views

Is the space of real conics with a singular point an orientable manifold?

5 votes
2 answers
644 views

Is anything known about the enumeration of degree d, genus g curves in CP^2 where g >1 ?

4 votes
3 answers
715 views

A necessary and sufficient condition for a curve to have an $A_k$ singularity.

4 votes
1 answer
334 views

How to enumerate curves with a singularity once you know the corresponding Thom Polynomial?

4 votes
2 answers
320 views

Is there a sufficient criteria to guarantee that $\lim_{n} a_{nn} = \lim_{m} \lim_{n} a_{mn}$ ?

4 votes
1 answer
594 views

Is it true that the only singularities upto codimension seven are the ADE singularities?

4 votes
2 answers
539 views

Is there an analogous concept for the degree of a map, when the spaces are singular?

4 votes
0 answers
411 views

Under what conditions do time averages of ergodic transformations satisfy a central limit theorem?

4 votes
1 answer
297 views

What are the indecomposable classes on a del-Pezzo surface?

4 votes
0 answers
177 views

Does the concept of connective constant make sense for any tiling of the plane?

4 votes
2 answers
2k views

Do Random Walks on the Hexagonal Lattice have a limit?

4 votes
2 answers
410 views

Is it impossible for the dimension of a topological space to increase under a smooth map?

4 votes
3 answers
561 views

What is the easiest way to show that three lines in two dimensional space do not intersect?