bio  website  nd.edu/~lnicolae 

location  University of Notre Dame  
age  49  
visits  member for  2 years, 10 months 
seen  9 hours ago  
stats  profile views  5,797 
I do mostly geometry and topology, with an analytic bias. For the past few years Morse theory has popped up in my research, but not in a conventional way.
15h

comment 
A fredholm index associated with two vector fields generating a 2 dimensional foliation
If $\dim M>2$ this is not a Fredholm operator. 
1d

revised 
Notion of manifold curvature?
added 1 character in body 
1d

answered  Notion of manifold curvature? 
Nov 16 
revised 
What does analyticity imply in complex analysis?
added 1 character in body 
Nov 16 
answered  What does analyticity imply in complex analysis? 
Nov 14 
comment 
Gompf's invariant of $2$plane fields
Have you looked at Kronheimer and Mrowka's book Monopoles and 3Manifolds? 
Nov 13 
awarded  Enlightened 
Nov 12 
awarded  Nice Answer 
Nov 11 
comment 
The difference between a handle decomposition and a CW decomposition
Let us continue this discussion in chat. 
Nov 11 
comment 
The difference between a handle decomposition and a CW decomposition
Also read the two paragraphs immediately following the statement of Theorem 3.5, page 13 of his paper front.math.ucdavis.edu/1012.3643 
Nov 11 
comment 
The difference between a handle decomposition and a CW decomposition
He refers to these assumptions as local triviality. Read the first paragraph in section 3, top page 10 of his paper front.math.ucdavis.edu/1012.3643 
Nov 11 
comment 
The difference between a handle decomposition and a CW decomposition
He assumes that near a critical point the metric is flat and the function $f$ has the form $f(x)=\pm x_1^2\pm x_2^2\pm \cdots \pm x_n^2$. 
Nov 11 
revised 
Exploiting the Linearity of the Pullback
added 1 character in body 
Nov 10 
comment 
Harmonic Crystal using Random Walk
Can you define $\langle\varphi(0)\rangle$? 
Nov 10 
awarded  Pundit 
Nov 9 
answered  Exploiting the Linearity of the Pullback 
Nov 9 
awarded  Custodian 
Nov 9 
reviewed  Reviewed Exploiting the Linearity of the Pullback 
Nov 9 
comment 
Exploiting the Linearity of the Pullback
From what I see, the functional map is the pullback by the inverse of $T$. 
Nov 8 
revised 
What are the “correct” conventions for defining Clifford algebras?
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